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DAE-example-1.mw
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DAE-example-1.mw
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<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="2018" minor="2"/>
<Label-Scheme value="2" prefix=""/>
<View-Properties presentation="true" autoexpanding_sections="true" UserProfileName="Maple Default Profile" NumericFormat-ApplyInteger="true" NumericFormat-ApplyRational="true" NumericFormat-ApplyExponent="false" editable="true">
</View-Properties>
<MapleNet-Properties prettyprint="3" warnlevel="3" preplot="" helpbrowser="standard" displayprecision="-1" echo="1" unitattributes=""fontweight" = "bold"" imaginaryunit="I" longdelim="true" elisiontermsthreshold="10000" elisiondigitsafter="100" elisiondigitsbefore="100" plotdevice="inline" errorbreak="1" plotoptions="" plotdriver="opengl" quiet="false" elisiontermsbefore="100" elisiontermsafter="100" screenwidth="79" indentamount="4" plotoutput="terminal" screenpixelheight="1050" rtablesize="10" useclientjvm="true" labelwidth="20" postplot="" typesetting="extended" ansi="false" ansicolor="[]" elisiondigitsthreshold="10000" showassumed="1" ansilprint="false" errorcursor="false" labelling="true" screenheight="25" prompt="> " verboseproc="1" latexwidth="8.0" ShowLabels="true"/>
<Styles>
<Font name="Heading 1" background="[255,255,255]" bold="true" executable="false" family="Avenir Next" foreground="[195,69,11]" italic="false" opaque="false" readonly="false" size="20" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Warning" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[51,51,51]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 4" background="[255,255,255]" bold="true" executable="false" family="Avenir Next" foreground="[255,102,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[1,86,2]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Avenir Next" foreground="[206,93,0]" italic="false" opaque="false" readonly="false" size="16" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Output" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Inert Output" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[144,144,144]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Avenir Next" foreground="[235,132,3]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[40,120,40]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 1" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input" background="[255,255,255]" bold="true" executable="true" family="Menlo" foreground="[19,82,186]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text Output" background="[255,255,255]" bold="false" executable="false" family="Menlo" foreground="[2,100,2]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 2" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 3" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 5" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="text-blue-colored" background="[255,255,255]" bold="true" executable="false" family="Avenir Next" foreground="[35,83,192]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Header and Footer" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="11" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkError" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,0]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="SubSubTitle" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[63,63,63]" italic="false" opaque="false" readonly="false" size="20" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Atomic Variable" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[175,0,175]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkWarning" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Dictionary Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="2D Math" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="text-orange colored" background="[255,255,255]" bold="true" executable="false" family="Avenir Next" foreground="[255,145,11]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Bullet Item" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Plot" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Text" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="List Item" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Dash Item" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Input" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Error" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,0]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Title" background="[255,255,255]" bold="true" executable="false" family="Avenir Next" foreground="[181,3,22]" italic="false" opaque="false" readonly="false" size="36" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Normal" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Caption Reference" background="[255,255,255]" bold="true" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Code" background="[255,255,255]" bold="false" executable="false" family="Menlo" foreground="[128,0,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Section" background="[255,255,255]" bold="true" executable="false" family="Avenir Next" foreground="[189,46,3]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Courier New" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="true"/>
<Font name="Subtitle" background="[255,255,255]" bold="true" executable="false" family="Avenir Next" foreground="[128,128,128]" italic="false" opaque="false" readonly="false" size="24" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Equation Label" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Author" background="[255,255,255]" bold="false" executable="false" family="Avenir Next" foreground="[51,51,51]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,128,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Caption Text" background="[255,255,255]" bold="true" executable="false" family="Avenir Next" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Warning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.3" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 1" alignment="left" bullet="numeric" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="newline" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 2" alignment="left" bullet="alphabetic" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Ordered List 3" alignment="left" bullet="roman" firstindent="0" leftmargin="72" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Ordered List 4" alignment="left" bullet="ALPHABETIC" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Ordered List 5" alignment="left" bullet="ROMAN" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Annotation Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="text-blue-colored" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkError" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="SubSubTitle" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkWarning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Bullet Item" alignment="left" bullet="dot" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="List Item" alignment="left" bullet="indent" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Dash Item" alignment="left" bullet="dash" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Title" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Normal" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Section" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="6" linebreak="newline" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Subtitle" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
</Styles>
<Startup-Code startupcode=""/>
<Task-table>
<Task-category name="<default>"/>
</Task-table>
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padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Text-field style="Title" layout="Title">DAE-lib usage example 1</Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Text-field style="Text" layout="Normal"></Text-field></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L52" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table>
<Group labelreference="L88" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">restart:</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L237" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">read("DAE-lib.maplet");</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">MyomSSdDb3Vyc2VHNiIiIiJJKk1vZGVsbGluZ0dGJUYmKihJK1NpbXVsYXRpb25HRiVGJkktTWVjaGF0cm9uaWNzR0YlRiZJJ1N5c3RlbUdGJUYm</Equation></Text-field>
</Output>
</Group>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">The DAE</Text-field></Title>
<Group labelreference="L97" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">The original DAE</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L163" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">dx := diff(x(t),t);
dy := diff(y(t),t);
du := diff(u(t),t);
dv := diff(v(t),t);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNkeEdGKC1JJWRpZmZHRiY2JC1JInhHRig2I0kidEdGKEY0NyNGLg==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNkeUdGKC1JJWRpZmZHRiY2JC1JInlHRig2I0kidEdGKEY0NyNGLg==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNkdUdGKC1JJWRpZmZHRiY2JC1JInVHRig2I0kidEdGKEY0NyNGLg==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNkdkdGKC1JJWRpZmZHRiY2JC1JInZHRig2I0kidEdGKEY0NyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L165" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">PARA := x(t)^2-y(t);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVQQVJBR0YoLCYqJC1JInhHRig2I0kidEdGKCIiIyIiIi1JInlHRihGMiEiIjcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L167" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">The DAE system of parabolic pendulum</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L96" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">EQ1 := dx-u(t);
EQ2 := dy-v(t);
EQ3 := du*(1+4*x(t)^2)+2*x(t)*dv+4*x(t)*u(t)^2+x(t)*g+2*x(t)*(1+2*PARA)*lambda(t);
EQ4 := dv+2*u(t)^2+2*x(t)*du-g/2-2*PARA*lambda(t);
EQ5 := x(t)^2+PARA^2-1;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEkRVExRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEpJkFzc2lnbjtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GIzYoLUkmbWZyYWNHRiQ2KC1GNjYtUTAmRGlmZmVyZW50aWFsRDtGJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GWC1GIzYlRlQtRiw2JVEidEYnRi9GMkY5LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zeby8lKWJldmVsbGVkR0Y9LUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjRlbUYnLyUmZGVwdGhHRmhvLyUqbGluZWJyZWFrR1ElYXV0b0YnLUYsNiVRInhGJ0YvRjItRjY2LVEwJkFwcGx5RnVuY3Rpb247RidGOUY7Rj5GQEZCRkRGRkZIRldGWS1JKG1mZW5jZWRHRiQ2JC1GIzYmRmZuLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9RjlGOUY5LUY2Ni1RKCZtaW51cztGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GZXEtRiM2Ji1GLDYlUSJ1RidGL0YyRmRwRmdwRjlGOQ==">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRFUTFHRigsJi1JJWRpZmZHRiY2JC1JInhHRig2I0kidEdGKEY1IiIiLUkidUdGKEY0ISIiNyNGLg==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRFUTJHRigsJi1JJWRpZmZHRiY2JC1JInlHRig2I0kidEdGKEY1IiIiLUkidkdGKEY0ISIiNyNGLg==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRFUTNHRigsLComLUklZGlmZkdGJjYkLUkidUdGKDYjSSJ0R0YoRjYiIiIsJkY3RjcqJC1JInhHRihGNSIiIyIiJUY3RjcqJkY6RjctRjE2JC1JInZHRihGNUY2RjdGPComRjpGN0YzRjxGPSomRjpGN0kiZ0dGKEY3RjcqKEY6RjcsKEY3RjdGOUY8LUkieUdGKEY1ISIjRjctSSdsYW1iZGFHRihGNUY3Rjw3I0Yu</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRFUTRHRigsLC1JJWRpZmZHRiY2JC1JInZHRig2I0kidEdGKEY1IiIiKiQtSSJ1R0YoRjQiIiNGOiomLUkieEdGKEY0RjYtRjA2JEY4RjVGNkY6SSJnR0YoIyEiIkY6KiYsJiokRjxGOkY2LUkieUdGKEY0RkJGNi1JJ2xhbWJkYUdGKEY0RjYhIiM3I0Yu</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRFUTVHRigsKCokLUkieEdGKDYjSSJ0R0YoIiIjIiIiKiQsJkYvRjUtSSJ5R0YoRjIhIiJGNEY1RjpGNTcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L63" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">VARS := [x(t),y(t),u(t),v(t),lambda(t)];
DVARS := diff(VARS,t);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVWQVJTR0YoNyctSSJ4R0YoNiNJInRHRigtSSJ5R0YoRjEtSSJ1R0YoRjEtSSJ2R0YoRjEtSSdsYW1iZGFHRihGMTcjRi4=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZEVkFSU0dGKDcnLUklZGlmZkdGJjYkLUkieEdGKDYjSSJ0R0YoRjUtRjA2JC1JInlHRihGNEY1LUYwNiQtSSJ1R0YoRjRGNS1GMDYkLUkidkdGKEY0RjUtRjA2JC1JJ2xhbWJkYUdGKEY0RjU3I0Yu</Equation></Text-field>
</Output>
</Group>
</Section>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Index Reduction using Library</Text-field></Title>
<Group labelreference="L246" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Original DAE</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L245" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal"><EQ||(1..5)>;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L238" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">DAE1, ALG1 := DAEreduceBy1TheIndexBis( [EQ||(1..5)], DVARS ):
simplify(<DAE1>);
simplify(<ALG1>);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyNYLCUhR0YoRihbZ2whIiUhISEjIiIiIiItSSVtcm93RzYkRiYvSSttb2R1bGVuYW1lR0YoRiQ2KC1JI21vR0YwNiNRKiZ1bWludXMwO0YoLUklbXN1cEdGMDYkLUYvNiUtSSNtaUdGMDYjUSJ4RigtRjU2I1EwJkFwcGx5RnVuY3Rpb247RigtSShtZmVuY2VkR0YwNiMtRj42I1EidEYoLUkjbW5HRjA2I1EiMkYoLUY1NiNRKCZtaW51cztGKC1GOTYkLUZFNiMtRi82JUY4Rk4tRi82JS1GPjYjUSJ5RihGQUZERkotRjU2I1EnJnBsdXM7RigtRks2I1EiMUYoNyMtSSdNYXRyaXhHRiU2Iy9JJCVpZEdGKCI1bWRFLyN5U3VZJT0=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L241" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">DAE2, ALG2 := DAEreduceBy1TheIndexBis( simplify(DAE1), DVARS ):
simplify(<DAE2>);
simplify(<ALG2>);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" 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">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</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L242" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">DAE3, ALG3 := DAEreduceBy1TheIndexBis( simplify(DAE2), DVARS ):
simplify(<DAE3>);
simplify(<ALG3>);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" 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</Group>
<Group hide-input="false" labelreference="L243" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">DAE4, ALG4 := DAEreduceBy1TheIndexBis( simplify(DAE3), DVARS ):
simplify(<DAE4>);
simplify(<ALG4>);</Text-field>
</Input>
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</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkobWZlbmNlZEc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nRzYkRiVJKF9zeXNsaWJHRig2Ji1JJ210YWJsZUdGJDYjLUkkbXRyR0YkRigvSSVvcGVuR0YqUScmbHNxYjtGKC9JJmNsb3NlR0YqUScmcnNxYjtGKC9JK21zZW1hbnRpY3NHRiRRJ01hdHJpeEYo">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMtSSdSVEFCTEVHRig2JSI1VSRRdEN5U3VZJT0tSSdNQVRSSVhHRig2IzciSSdNYXRyaXhHRiU3Iy1GNDYjL0kkJWlkR0YoRi8=</Equation></Text-field>
</Output>
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<Group labelreference="L266" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">The ODE is on the form</Text-field><Text-field style="Text" layout="Normal">
E(x,t) x' = G(x,t)
Explicit solve as x' = f(x,t) the ODE where f(x,t) = E(x,t)^(-1) G(x,t)</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L185" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">ODE := op(solve( convert(DAE4,list), DVARS)): <%>;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" 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</Group>
<Group labelreference="L186" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">The hidded constraints are collected in ALG1, ALG2, ALG3</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L187" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">HIDDEN := convert(<ALG1,ALG2,ALG3>,list);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
</Section>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Consistent Initial Condition</Text-field></Title>
<Group hide-input="false" labelreference="L244" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">FUN_TO_VAR := x(t) = x, y(t) = y, u(t) = u, v(t) = v, lambda(t)=lambda;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SStGVU5fVE9fVkFSR0YoNicvLUkieEdGKDYjSSJ0R0YoRjEvLUkieUdGKEYyRjYvLUkidUdGKEYyRjkvLUkidkdGKEYyRjwvLUknbGFtYmRhR0YoRjJGPzcnRi9GNEY3RjpGPQ==</Equation></Text-field>
</Output>
</Group><Presentation-Block>
<Group labelreference="L236" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Find a correct initial condition satisfying the hidden costraints</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L235" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">CONSTRAINTS := subs(FUN_TO_VAR,[ALG1[1],ALG2[1],ALG3[1]]);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L234" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">INI := allvalues(solve( [op(CONSTRAINTS),x=0,u=2], [x,y,u,v,lambda] ));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRJTklHRig3JDcnL0kieEdGKCIiIS9JInlHRigiIiIvSSJ1R0YoIiIjL0kidkdGKEYyL0knbGFtYmRhR0YoLCZJImdHRigjRjUiIiUhIidGNTcnRjAvRjQhIiJGNkY5L0Y8LCZGPiNGREZAIiM1RjU3I0Yu</Equation></Text-field>
</Output>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">MATLAB code Generation</Text-field></Title>
<Group hide-input="false" labelreference="L267" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">FUN_TO_VAR;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NicvLUkieEc2IjYjSSJ0R0YmRiUvLUkieUdGJkYnRisvLUkidUdGJkYnRi4vLUkidkdGJkYnRjEvLUknbGFtYmRhR0YmRidGNA==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L256" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">Generate MATLAB code</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L259" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">RHS_OF_ODE := <Font foreground="[0,128,0]">subs(</Font>FUN_TO_VAR, <Font foreground="[0,128,0]">map( rhs, </Font>ODE) ): <%>;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkqbWNvbXBsZXRlRzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliR0YnNiQtSShtZmVuY2VkR0YkNigtSSVtcm93R0YkNiYtSSdtdGFibGVHRiQ2OS1JJG10ckdGJDYmLUkkbXRkR0YkNigtSSNtaUdGJDYlUSJ1RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUpcm93YWxpZ25HUSFGJy8lLGNvbHVtbmFsaWduR0ZGLyUrZ3JvdXBhbGlnbkdGRi8lKHJvd3NwYW5HUSIxRicvJStjb2x1bW5zcGFuR0ZNRkRGR0ZJLUY1NiYtRjg2KC1GOzYlUSJ2RidGPkZBRkRGR0ZJRktGTkZERkdGSS1GNTYmLUY4NigtRi82JS1JI21vR0YkNi1RKiZ1bWludXMwO0YnL0ZCUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGX28vJSlzdHJldGNoeUdGX28vJSpzeW1tZXRyaWNHRl9vLyUobGFyZ2VvcEdGX28vJS5tb3ZhYmxlbGltaXRzR0Zfby8lJ2FjY2VudEdGX28vJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZecC1GLzYoLUkjbW5HRiQ2JFEiMkYnRltvLUZobjYtUTEmSW52aXNpYmxlVGltZXM7RidGW29GXW9GYG9GYm9GZG9GZm9GaG9Gam8vRl1wUSYwLjBlbUYnL0ZgcEZbcS1GLDYkLUYvNiotRi82KC1GZHA2JFEiNEYnRltvRmdwLUklbXN1cEdGJDYlLUY7NiVRInhGJ0Y+RkFGY3AvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRmdwLUY7NiVRKSZsYW1iZGE7RicvRj9GX29GW29GW28tRmhuNi1RKCZtaW51cztGJ0Zbb0Zdb0Zgb0Zib0Zkb0Zmb0Zob0Zqb0ZccEZfcC1GLzYoRmNxRmdwLUY7NiVRInlGJ0Y+RkFGZ3BGX3JGW28tRmhuNi1RJyZwbHVzO0YnRltvRl1vRmBvRmJvRmRvRmZvRmhvRmpvRlxwRl9wLUY7NiVRImdGJ0Y+RkFGW3NGX3JGW29GW29GZ3BGaXFGW29GW29GREZHRklGS0ZORkRGR0ZJLUY1NiYtRjg2KC1GLzYwLUYvNiYtRmRwNiRRIzE2RidGW29GZ3AtRi82Ji1GZ3E2JUZpcUZjcUZcckZncEZfckZbb0Zbb0Zjci1GLzYmRmlzRmdwLUYvNihGZnFGZ3BGaHJGZ3BGX3JGW29GW29GW3MtRi82Ji1GZHA2JFEiNkYnRltvRmdwLUYvNiZGZnFGZ3BGX3JGW29GW29GW3MtRi82JkZjcUZncC1GLzYmRmZxRmdwRl5zRltvRltvRmNyLUYvNiZGY3BGZ3AtRmdxNiVGOkZjcEZcckZbb0Zjci1GLzYmRmNwRmdwLUYvNiZGaHJGZ3BGX3JGW29GW29GW3MtRi82Ji1JJm1mcmFjR0YkNigtRmRwNiRGTUZbb0ZjcC8lLmxpbmV0aGlja25lc3NHRk0vJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGYnYvJSliZXZlbGxlZEdGX29GZ3BGXnNGW29GW29GREZHRklGS0ZORkRGR0ZJLUY1NiYtRjg2KC1GLzYlRmduLUZqdTYoLUYvNkQtRi82Ki1GZHA2JFEkNzY4RidGW29GZ3AtRmdxNiVGaXEtRmRwNiRRIjVGJ0Zbb0ZcckZncEY6RmdwRl9yRltvRmNyLUYvNiwtRmRwNiRRJTEwMjRGJ0Zbb0ZncC1GZ3E2JUZpcS1GZHA2JFEiM0YnRltvRlxyRmdwRjpGZ3BGaHJGZ3BGX3JGW29GY3ItRi82Ki1GZHA2JFEkMjU2RidGW29GZ3BGXnRGZ3BGX3JGZ3BGVEZbb0Zbcy1GLzYqLUZkcDYkUSQxNjBGJ0Zbb0ZncEZgeEZncEY6RmdwRl5zRltvRltzLUYvNiotRmRwNiRRJDI4OEYnRltvRmdwRmB4RmdwRjpGZ3BGX3JGW29GW3MtRi82LEZneEZncEZpcUZncEY6RmdwLUZncTYlRmhyRmNwRlxyRmdwRl9yRltvRltzLUYvNixGZ3hGZ3BGZnFGZ3BGaHJGZ3BGX3JGZ3BGVEZbb0Zjci1GLzYsLUZkcDYkUSM2NEYnRltvRmdwRmlxRmdwRjpGZ3BGaHJGZ3BGXnNGW29GY3ItRi82Ki1GZHA2JFEjNDhGJ0Zbb0ZncEZmcUZncEZURmdwRl5zRltvRmNyLUYvNixGXHlGZ3BGaXFGZ3BGOkZncEZockZncEZfckZbb0Zjci1GLzYqLUZkcDYkUSM4MEYnRltvRmdwRmZxRmdwRl9yRmdwRlRGW29GY3ItRi82KEZhekZncEZpcUZncC1GZ3E2JUY6RmJ4RlxyRltvRltzLUYvNiotRmRwNiRRIzIyRidGW29GZ3BGaXFGZ3BGOkZncEZec0Zbb0Zbcy1GLzYqRmlzRmdwRmlxRmdwRjpGZ3BGX3JGW29GW3MtRi82KkZpc0ZncEZockZncEZfckZncEZURltvRltzLUYvNigtRmRwNiRRIzI0RidGW29GZ3BGYXVGZ3BGVEZbb0Zjci1GLzYoRmJ4RmdwRlRGZ3BGXnNGW29GW28tRi82JkZjcUZncC1GLDYkLUYvNjAtRi82JkZpc0ZncC1GZ3E2JUZpcUZmdEZcckZbb0Zjci1GLzYoLUZkcDYkUSMzMkYnRltvRmdwRl50RmdwRmhyRltvRltzLUYvNiYtRmRwNiRRIjlGJ0Zbb0ZncEZedEZbb0Zbcy1GLzYoRmlzRmdwRmZxRmdwRmZ5RltvRmNyLUYvNigtRmRwNiRRIzEwRidGW29GZ3BGZnFGZ3BGaHJGW29GW3NGZnFGW3NGZnlGW29GW29GW29GXnZGYHZGY3ZGZXZGW29GREZHRklGS0ZORkRGR0ZJLyUmYWxpZ25HUSVheGlzRicvRkVRKWJhc2VsaW5lRicvRkhGYnYvRkpRJ3xmcmxlZnR8aHJGJy8lL2FsaWdubWVudHNjb3BlR0ZALyUsY29sdW1ud2lkdGhHUSVhdXRvRicvJSZ3aWR0aEdGZl5sLyUrcm93c3BhY2luZ0dRJjEuMGV4RicvJS5jb2x1bW5zcGFjaW5nR1EmMC44ZW1GJy8lKXJvd2xpbmVzR1Elbm9uZUYnLyUsY29sdW1ubGluZXNHRmFfbC8lJmZyYW1lR0ZhX2wvJS1mcmFtZXNwYWNpbmdHUSwwLjRlbX4wLjVleEYnLyUqZXF1YWxyb3dzR0Zfby8lLWVxdWFsY29sdW1uc0dGX28vJS1kaXNwbGF5c3R5bGVHRl9vLyUlc2lkZUdRJnJpZ2h0RicvJTBtaW5sYWJlbHNwYWNpbmdHRl5fbC8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdGX29GW29GW28vSSttc2VtYW50aWNzR0YkUSpDb2xWZWN0b3JGJy8lJW9wZW5HUScmbHNxYjtGJy8lJmNsb3NlR1EnJnJzcWI7RidGaWBsLUYsNigtRi82Ji1GMjY5LUY1NiYtRjg2KC1GOzYnRj1GPkZkYGxGZ2BsRkFGREZHRklGS0ZORkRGR0ZJLUY1NiYtRjg2KC1GOzYnRlZGPkZkYGxGZ2BsRkFGREZHRklGS0ZORkRGR0ZJLUY1NiYtRjg2KC1GLzYnLUZobjYvRmpuRmRgbEZnYGxGW29GXW9GYG9GYm9GZG9GZm9GaG9Gam9GXHBGX3AtRi82Ki1GZHA2JkZmcEZkYGxGZ2BsRltvRmdwLUYsNiYtRi82LC1GLzYqLUZkcDYmRmVxRmRgbEZnYGxGW29GZ3AtRjs2J1EnJiM5NTU7RidGYnJGZGBsRmdgbEZbb0ZncC1GZ3E2JS1GOzYnRltyRj5GZGBsRmdgbEZBRl5jbEZcckZkYGxGZ2BsRltvLUZobjYvRmVyRmRgbEZnYGxGW29GXW9GYG9GYm9GZG9GZm9GaG9Gam9GXHBGX3AtRi82KkZmY2xGZ3BGaGNsRmdwLUY7NidGanJGPkZkYGxGZ2BsRkFGZGBsRmdgbEZbby1GaG42L1EiK0YnRmRgbEZnYGxGW29GXW9GYG9GYm9GZG9GZm9GaG9Gam9GXHBGX3AtRjs2J0Zgc0Y+RmRgbEZnYGxGQUZlZGxGaGNsRmRgbEZnYGxGW29GZGBsRmdgbEZbb0ZncEZdZGxGZGBsRmdgbEZbb0ZkYGxGZ2BsRltvRkRGR0ZJRktGTkZERkdGSS1GNTYmLUY4NigtRi82Mi1GLzYqLUZkcDYmRlt0RmRgbEZnYGxGW29GZ3AtRmdxNiVGXWRsRmZjbEZcckZncEZoY2xGZGBsRmdgbEZbb0ZfZGwtRi82LEZiZWxGZ3BGW2RsRmdwRmNkbEZncEZoY2xGZGBsRmdgbEZbb0ZlZGwtRi82Ki1GZHA2JkZodEZkYGxGZ2BsRltvRmdwRltkbEZncEZoY2xGZGBsRmdgbEZbb0ZlZGwtRi82KkZmY2xGZ3BGW2RsRmdwRmhkbEZkYGxGZ2BsRltvRl9kbC1GLzYoRl5jbEZncC1GZ3E2JUZcYmxGXmNsRlxyRmRgbEZnYGxGW29GX2RsLUYvNipGXmNsRmdwRmNkbEZncEZoY2xGZGBsRmdgbEZbb0ZlZGwtRi82KC1GanU2KS1GZHA2JkZNRmRgbEZnYGxGW29GXmNsRl52RmB2RmN2RmV2RmRgbEZncC1GLzYmRmhkbEZkYGxGZ2BsRltvRmRgbEZnYGxGW29GZGBsRmdgbEZbb0ZERkdGSUZLRk5GREZHRkktRjU2Ji1GODYoLUYvNidGamJsLUYvNigtRmp1NilGaGZsRmZjbEZedkZgdkZjdkZldkZkYGxGZ3AtRmp1NiktRi82Ji1GLzZGLUYvNiwtRmRwNiZGZXdGZGBsRmdgbEZbb0ZncEZoY2xGZ3BGXGJsRmdwLUZncTYlRl1kbC1GZHA2JkZqd0ZkYGxGZ2BsRltvRlxyRmRgbEZnYGxGW29GX2RsLUYvNi4tRmRwNiZGX3hGZGBsRmdgbEZbb0ZncEZoY2xGZ3BGXGJsRmdwLUZncTYlRl1kbC1GZHA2JkZkeEZkYGxGZ2BsRltvRlxyRmdwRmNkbEZkYGxGZ2BsRltvRl9kbC1GLzYsLUZkcDYmRml4RmRgbEZnYGxGW29GZ3BGaGNsRmdwRmJibEZncEZkZWxGZGBsRmdgbEZbb0ZlZGwtRi82LC1GZHA2JkZeeUZkYGxGZ2BsRltvRmdwRmhkbEZncEZcYmxGZ3BGaGhsRmRgbEZnYGxGW29GZWRsLUYvNiwtRmRwNiZGY3lGZGBsRmdgbEZbb0ZncEZoY2xGZ3BGXGJsRmdwRmhobEZkYGxGZ2BsRltvRmVkbC1GLzYuRl5pbEZncEZoY2xGZ3BGXGJsRmdwRl1kbEZncC1GZ3E2JUZjZGxGXmNsRlxyRmRgbEZnYGxGW29GZWRsLUYvNi5GXmlsRmdwRmhjbEZncEZiYmxGZ3BGW2RsRmdwRmNkbEZkYGxGZ2BsRltvRl9kbC1GLzYuLUZkcDYmRl56RmRgbEZnYGxGW29GZ3BGaGRsRmdwRlxibEZncEZdZGxGZ3BGY2RsRmRgbEZnYGxGW29GX2RsLUYvNiwtRmRwNiZGY3pGZGBsRmdgbEZbb0ZncEZoZGxGZ3BGYmJsRmdwRltkbEZkYGxGZ2BsRltvRl9kbC1GLzYuRmJpbEZncEZoY2xGZ3BGXGJsRmdwRl1kbEZncEZjZGxGZGBsRmdgbEZbb0ZfZGwtRi82LC1GZHA2JkZqekZkYGxGZ2BsRltvRmdwRmhjbEZncEZiYmxGZ3BGW2RsRmRgbEZnYGxGW29GX2RsLUYvNipGZGpsRmdwLUZncTYlRlxibEZqaGxGXHJGZ3BGXWRsRmRgbEZnYGxGW29GZWRsLUYvNiwtRmRwNiZGY1tsRmRgbEZnYGxGW29GZ3BGaGRsRmdwRlxibEZncEZdZGxGZGBsRmdgbEZbb0ZlZGwtRi82LEZiZWxGZ3BGaGNsRmdwRlxibEZncEZdZGxGZGBsRmdgbEZbb0ZlZGwtRi82LEZiZWxGZ3BGaGNsRmdwRmJibEZncEZjZGxGZGBsRmdgbEZbb0ZlZGwtRi82Ki1GZHA2JkZcXGxGZGBsRmdgbEZbb0ZncEZgZmxGZ3BGYmJsRmRgbEZnYGxGW29GX2RsLUYvNipGamhsRmdwRmhkbEZncEZiYmxGZGBsRmdgbEZbb0ZkYGxGZ2BsRltvRmRgbEZnYGxGW28tRi82Ji1GLzYyLUYvNihGYmVsRmdwLUZncTYlRl1kbEZqZWxGXHJGZGBsRmdgbEZbb0ZfZGwtRi82Ki1GZHA2JkZdXWxGZGBsRmdgbEZbb0ZncEZkZWxGZ3BGY2RsRmRgbEZnYGxGW29GZWRsLUYvNigtRmRwNiZGYl1sRmRgbEZnYGxGW29GZ3BGZGVsRmRgbEZnYGxGW29GZWRsLUYvNipGYmVsRmdwRltkbEZncEZqaWxGZGBsRmdgbEZbb0ZfZGwtRi82Ki1GZHA2JkZpXWxGZGBsRmdgbEZbb0ZncEZbZGxGZ3BGY2RsRmRgbEZnYGxGW29GZWRsLUYvNiZGW2RsRmRgbEZnYGxGW29GZWRsLUYvNiZGamlsRmRgbEZnYGxGW29GZGBsRmdgbEZbb0ZkYGxGZ2BsRltvRl52RmB2RmN2RmV2RmRgbEZkYGxGZ2BsRltvRmRgbEZnYGxGW29GREZHRklGS0ZORkRGR0ZJRmpdbEZdXmxGX15sRmBebEZiXmxGZF5sRmdebEZpXmxGXF9sRl9fbEZiX2xGZF9sRmZfbEZpX2xGW2BsRl1gbEZfYGxGYmBsRmRgbEZnYGxGW29GZGBsRmdgbEZbby9GXWFsUSJbRicvRmBhbFEiXUYn">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L258" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Font foreground="[0,128,0]">F_TO_MATLAB( </Font>RHS_OF_ODE, [x,y,u,v,lambda], "ode" <Font foreground="[0,128,0]">);</Font></Text-field>
</Input>
<Output><Text-field style="Line Printed Output" layout="Line Printed Output">function res__ode = ode( vars__ )</Text-field><Text-field style="Line Printed Output" layout="Line Printed Output">
% extract states
x = vars__(1);
y = vars__(2);
u = vars__(3);
v = vars__(4);
lambda = vars__(5);
% evaluate function
res__1 = u;
res__2 = v;
t1 = x ^ 2;
t3 = 4 * y;
res__3 = -2 * (lambda * (4 * t1 - t3 + 1) + g) * x;
t9 = t1 ^ 2;
t19 = u ^ 2;
res__4 = lambda * (32 * t9 + t1 * (-32 * y + 12) - t3) / 2 + 4 * g * t1 - 2 * t19 + g / 2;
t45 = y ^ 2;
t46 = 4 * t45;
res__5 = 0.1e1 / (64 * t9 * t1 + t9 * (-128 * y + 36) + t1 * (64 * t45 - 40 * y + 4) + t46) * (-768 * lambda * u * t9 * x + 256 * v * lambda * t9 - 160 * t1 * x * ((-0.32e2 / 0.5e1 * y + 0.9e1 / 0.5e1) * lambda + g) * u + 48 * t1 * v * ((-0.16e2 / 0.3e1 * y + 0.5e1 / 0.3e1) * lambda + g) + 64 * x * (0.3e1 / 0.4e1 * t19 + lambda * (-t46 + 0.5e1 / 0.2e1 * y - 0.1e1 / 0.4e1) + g * (y - 0.11e2 / 0.32e2)) * u + 3 * v * (-8 * t19 - 0.16e2 / 0.3e1 * y * lambda + g));
% store on output
res__ode = zeros(5,1);
res__ode(1) = res__1;
res__ode(2) = res__2;
res__ode(3) = res__3;
res__ode(4) = res__4;
res__ode(5) = res__5;
end</Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L260" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">JODE := JACOBIAN(RHS_OF_ODE,[x,y,u,v,lambda]):</Text-field>
</Input>
</Group>
<Group labelreference="L261" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Font foreground="[0,128,0]">JF_TO_MATLAB( </Font>JODE, [x,y,u,v,lambda], "jode" <Font foreground="[0,128,0]">);</Font></Text-field>
</Input>
<Output><Text-field style="Line Printed Output" layout="Line Printed Output">function jac__jode = jode( vars__ )</Text-field><Text-field style="Line Printed Output" layout="Line Printed Output">
% extract states
x = vars__(1);
y = vars__(2);
u = vars__(3);
v = vars__(4);
lambda = vars__(5);
% evaluate function
jac__1_3 = 1;
jac__2_4 = 1;
t1 = x ^ 2;
t3 = 8 * y;
jac__3_1 = lambda * (-24 * t1 + t3 - 2) - 2 * g;
jac__3_2 = 8 * lambda * x;
t8 = t1 * x;
jac__3_5 = -8 * t8 + x * (t3 - 2);
jac__4_1 = 8 * (lambda * (8 * t1 - 4 * y + 0.3e1 / 0.2e1) + g) * x;
t20 = 2 * lambda;
jac__4_2 = -16 * lambda * t1 - t20;
jac__4_3 = -4 * u;
t22 = t1 ^ 2;
t27 = 2 * y;
jac__4_5 = 16 * t22 + t1 * (-16 * y + 6) - t27;
t28 = u * lambda;
t29 = t22 ^ 2;
t33 = lambda * v;
t34 = t29 * x;
t37 = y * lambda;
t47 = v * (-0.16e2 / 0.3e1 * t37 + 0.5e1 / 0.3e1 * lambda + g);
t48 = t22 * t8;
t51 = u ^ 2;
t53 = y ^ 2;
t54 = t53 * lambda;
t55 = 0.8e1 / 0.5e1 * t54;
t63 = t22 * t1;
t66 = 0.3e1 / 0.4e1 * t51;
t67 = 0.8e1 / 0.3e1 * t54;
t68 = g + t20;
t69 = y * t68;
t70 = 0.3e1 / 0.8e1 * g;
t74 = t22 * x;
t80 = t53 * y;
t84 = t53 * (g + lambda);
t109 = t53 ^ 2;
t138 = t53 * u;
t142 = (g + 0.5e1 / 0.2e1 * lambda) * y;
t148 = 6144 * t29 * t1 * t28 - 4096 * t34 * t33 + 3840 * t29 * (-0.16e2 / 0.5e1 * t37 + g + 0.9e1 / 0.10e2 * lambda) * u - 1536 * t48 * t47 - 5120 * t63 * (0.3e1 / 0.8e1 * t51 - t55 + (g + 0.4e1 / 0.5e1 * lambda) * y - 0.5e1 / 0.16e2 * g - 0.49e2 / 0.320e3 * lambda) * u + 1536 * t74 * v * (t66 - t67 + t69 - t70 - 0.29e2 / 0.96e2 * lambda) + 1792 * t22 * (t51 * (0.9e1 / 0.7e1 * y - 0.81e2 / 0.224e3) - 0.16e2 / 0.7e1 * lambda * t80 + t84 + (-0.5e1 / 0.8e1 * g - 0.61e2 / 0.112e3 * lambda) * y + 0.31e2 / 0.256e3 * g + 0.9e1 / 0.224e3 * lambda) * u + 192 * t8 * v * (t51 * (-t3 + 0.9e1 / 0.4e1) - t67 + (g + 0.3e1 / 0.2e1 * lambda) * y - 0.9e1 / 0.32e2 * g) - 512 * t1 * (t51 * (0.3e1 / 0.4e1 * t53 - 0.15e2 / 0.32e2 * y + 0.3e1 / 0.64e2) - 4 * lambda * t109 + t80 * t68 + t53 * (-g / 2 - 0.39e2 / 0.32e2 * lambda) + (0.71e2 / 0.256e3 * g + 0.5e1 / 0.16e2 * lambda) * y - 0.11e2 / 0.512e3 * g - lambda / 64) * u + 30 * x * v * (t51 * (0.64e2 / 0.5e1 * t53 - t3 + 0.4e1 / 0.5e1) - t67 + (g + 0.8e1 / 0.15e2 * lambda) * y - g / 10) + 32 * (t66 - 4 * t54 + t142 - 0.11e2 / 0.32e2 * g - lambda / 4) * t138;
t156 = (t63 + t22 * (-t27 + 0.9e1 / 0.16e2) + t1 * (t53 - 0.5e1 / 0.8e1 * y + 0.1e1 / 0.16e2) + t53 / 16) ^ 2;
t157 = 0.1e1 / t156;
jac__5_1 = t157 * t148 / 512;
t187 = 0.3e1 / 0.2e1 * t51;
jac__5_2 = t157 * (-4096 * t34 * t28 + 2048 * t29 * t33 - 2048 * t48 * (-4 * t37 + g + 0.5e1 / 0.4e1 * lambda) * u + 768 * t63 * t47 + 2560 * t74 * (-t55 + (g + 0.6e1 / 0.5e1 * lambda) * y + 0.3e1 / 0.10e2 * t51 - 0.27e2 / 0.80e2 * g - 0.29e2 / 0.160e3 * lambda) * u - 768 * t22 * (-t67 + t69 + t51 / 2 - t70 - 0.25e2 / 0.96e2 * lambda) * v - 512 * t8 * (t84 + y * (t187 - g - 0.9e1 / 0.16e2 * lambda) - 0.15e2 / 0.32e2 * t51 + 0.39e2 / 0.256e3 * g) * u - 96 * t1 * (-t67 + y * (-4 * t51 + g + 0.5e1 / 0.6e1 * lambda) + 0.5e1 / 0.4e1 * t51 - 0.5e1 / 0.32e2 * g + lambda / 12) * v - 32 * y * x * (t142 + t187 - 0.11e2 / 0.16e2 * g - lambda / 2) * u - 3 * v * y * (-8 * t51 - 0.8e1 / 0.3e1 * t37 + g)) / 512;
t232 = 80 * lambda;
jac__5_3 = 0.1e1 / (32 * t63 + t22 * (-64 * y + 18) + t1 * (32 * t53 - 20 * y + 2) + 2 * t53) * (-384 * t74 * lambda + t8 * (512 * t37 - 80 * g - 144 * lambda) + x * (-128 * t54 + y * (32 * g + t232) + 72 * t51 - 11 * g - 8 * lambda) - 24 * u * v);
jac__5_4 = 0.1e1 / (64 * t63 + t22 * (-128 * y + 36) + t1 * (64 * t53 - 40 * y + 4) + 4 * t53) * (256 * lambda * t22 + t1 * (-256 * t37 + 48 * g + t232) - 24 * t51 - 16 * t37 + 3 * g);
t279 = u * y;
t284 = v * y;
jac__5_5 = 0.1e1 / (16 * t63 + t22 * (-32 * y + 9) + t1 * (16 * t53 - 10 * y + 1) + t53) * (-192 * t74 * u + 64 * t22 * v + t8 * (256 * t279 - 72 * u) + t1 * (-64 * t284 + 20 * v) + x * (-64 * t138 + 40 * t279 + jac__4_3) - 4 * t284);
% store on output
jac__jode = zeros(5,5);
jac__jode(1,3) = jac__1_3;
jac__jode(2,4) = jac__2_4;
jac__jode(3,1) = jac__3_1;
jac__jode(3,2) = jac__3_2;
jac__jode(3,5) = jac__3_5;
jac__jode(4,1) = jac__4_1;
jac__jode(4,2) = jac__4_2;
jac__jode(4,3) = jac__4_3;
jac__jode(4,5) = jac__4_5;
jac__jode(5,1) = jac__5_1;
jac__jode(5,2) = jac__5_2;
jac__jode(5,3) = jac__5_3;
jac__jode(5,4) = jac__5_4;
jac__jode(5,5) = jac__5_5;
end</Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L277" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">h := <Font foreground="[0,128,0]">subs(</Font>FUN_TO_VAR, HIDDEN ): <%>;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L276" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Font foreground="[0,128,0]">F_TO_MATLAB( h</Font>, [x,y,u,v,lambda], "h" <Font foreground="[0,128,0]">); </Font></Text-field>
</Input>
<Output><Text-field style="Line Printed Output" layout="Line Printed Output">function res__h = h( vars__ )
% extract states</Text-field><Text-field style="Line Printed Output" layout="Line Printed Output"> x = vars__(1);
y = vars__(2);
u = vars__(3);
v = vars__(4);
lambda = vars__(5);
% evaluate function
t1 = x ^ 2;
t2 = t1 ^ 2;
t6 = y ^ 2;
res__1 = -t2 + t1 * (2 * y - 1) - t6 + 1;
res__2 = 4 * t1 * x * u - 2 * t1 * v + (-4 * y + 2) * u * x + 2 * v * y;
t33 = u ^ 2;
t47 = v ^ 2;
res__3 = 64 * t2 * t1 * lambda + t2 * ((-128 * y + 36) * lambda + 16 * g) + t1 * (lambda * (64 * t6 - 40 * y + 4) - 16 * g * y - 16 * t33 + 5 * g) + 8 * u * v * x + 4 * t6 * lambda + y * (8 * t33 - g) - 2 * t33 - 2 * t47;
% store on output
res__h = zeros(3,1);
res__h(1) = res__1;
res__h(2) = res__2;
res__h(3) = res__3;
end</Text-field>
</Output>
</Group>
<Group labelreference="L274" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal"><Font foreground="[0,128,0]">JF_TO_MATLAB( JACOBIAN</Font>(h,[x,y,u,v,lambda]), [x,y,u,v,lambda], "jh" <Font foreground="[0,128,0]">);</Font></Text-field>
</Input>
<Output><Text-field style="Line Printed Output" layout="Line Printed Output">function jac__jh = jh( vars__ )</Text-field><Text-field style="Line Printed Output" layout="Line Printed Output">
% extract states
x = vars__(1);
y = vars__(2);
u = vars__(3);
v = vars__(4);
lambda = vars__(5);
% evaluate function
t1 = x ^ 2;
t2 = t1 * x;
jac__1_1 = 4 * x * y - 4 * t2 - 2 * x;
jac__1_2 = 2 * t1 - 2 * y;
t12 = v * x;
jac__2_1 = u * (12 * t1 - 4 * y + 2) - 4 * t12;
t14 = u * x;
jac__2_2 = -4 * t14 + 2 * v;
jac__2_3 = -jac__1_1;
jac__2_4 = -jac__1_2;
t17 = t1 ^ 2;
t27 = y ^ 2;
t34 = u ^ 2;
jac__3_1 = 384 * t17 * x * lambda + t2 * ((-512 * y + 144) * lambda + 64 * g) + x * (lambda * (128 * t27 - 80 * y + 8) - 32 * g * y - 32 * t34 + 10 * g) + 8 * u * v;
t42 = 128 * y;
jac__3_2 = lambda * (-128 * t17 + t1 * (t42 - 40) + 8 * y) - 16 * g * t1 + 8 * t34 - g;
jac__3_3 = u * (-32 * t1 + 16 * y - 4) + 8 * t12;
jac__3_4 = 8 * t14 - 4 * v;
jac__3_5 = 64 * t17 * t1 + t17 * (-t42 + 36) + t1 * (64 * t27 - 40 * y + 4) + 4 * t27;
% store on output
jac__jh = zeros(3,5);
jac__jh(1,1) = jac__1_1;
jac__jh(1,2) = jac__1_2;
jac__jh(2,1) = jac__2_1;
jac__jh(2,2) = jac__2_2;
jac__jh(2,3) = jac__2_3;
jac__jh(2,4) = jac__2_4;
jac__jh(3,1) = jac__3_1;
jac__jh(3,2) = jac__3_2;
jac__jh(3,3) = jac__3_3;
jac__jh(3,4) = jac__3_4;
jac__jh(3,5) = jac__3_5;
end</Text-field>
</Output>
</Group>
<Group labelreference="L273" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Section><Presentation-Block>
<Group view="presentation" inline-output="false" labelreference="L257" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Worksheet>