<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="11" minor="0"/>
<Label-Scheme value="2" prefix=""/>
<View-Properties presentation="false"></View-Properties>
<MapleNet-Properties warnlevel="3" longdelim="true" plotoptions="" echo="1" errorcursor="false" elisiontermsthreshold="10000" elisiontermsbefore="100" errorbreak="1" prettyprint="3" prompt="&gt; " latexwidth="6.0" useclientjvm="true" ansi="false" screenheight="25" labelwidth="20" plotdevice="inline" typesetting="standard" displayprecision="-1" indentamount="4" elisiondigitsthreshold="10000" quiet="false" plotoutput="terminal" rtablesize="10" preplot="" showassumed="1" plotdriver="openviz" elisiontermsafter="100" labelling="true" postplot="" screenwidth="79" elisiondigitsbefore="100" elisiondigitsafter="100" verboseproc="1" imaginaryunit="I" ShowLabels="true"/>
<Styles><Font name="Maple Output12" 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="Heading 4" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 1" 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="Left Justified Maple Output" 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="Help" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="9" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Help Variable" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text" 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="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[64,128,64]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Normal259" 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="Help Bold" 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="Page Number" 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="2D Math Italic Small" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" 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="Help Nonterminal" background="[255,255,255]" bold="true" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Default" 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="Normal" 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="Maple Comment" background="[255,255,255]" bold="true" executable="false" family="Monospaced" 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="Monospaced" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Math Small" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="1" 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="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="Help Fixed" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Popup" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,128,128]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Plot Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Copyright" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" 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="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="true"/>
<Font name="2D Math Bold Small" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Normal258" 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="2D Math" 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="Fixed Width" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Error" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Text" 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="Heading 1" 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="Help Notes" 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="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="true" placeholder="false"/>
<Font name="Help Underlined Bold" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Normal257" 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="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="2D Math Symbol 2" background="[255,255,255]" bold="false" executable="false" family="SymbolPi" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Normal256" 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="Text Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Bullet Item" 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="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="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="Normal260" 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="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Plot Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="8" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Plot" 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="Help Italic" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Output Labels" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="8" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Help Heading" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Help Normal" 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="2D Comment" 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="Help Maple Name" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[104,64,92]" italic="false" opaque="false" readonly="false" 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="[0,0,255]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" 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="Help Emphasized" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Help Italic Bold" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Help Menus" 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="LaTeX" 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="Dash Item" 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="Prompt" background="[255,255,255]" bold="true" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Output" 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="Help Underlined" 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="true" placeholder="false"/>
<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="List Item" 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="Help Underlined Italic" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Warning" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Math Bold" 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="2D Math Italic" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 2" 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"/>
<Layout name="Maple Output12" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.5" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Normal256" 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="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="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="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="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Left Justified Maple Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.5" 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="Help" 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="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=""/>
<Layout name="Diagnostic" 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="Normal259" alignment="right" 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="Normal260" alignment="right" bullet="none" firstindent="0" leftmargin="0" rightmargin="4" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" 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="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="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="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="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="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="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="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="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.5" 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="Line Printed Output" 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="Normal258" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="2" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Fixed Width" 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="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="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="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="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="Normal257" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="4" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" 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=""/>
<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 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" 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"/>
<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 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" 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 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" 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 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
</Styles>
<Page-Numbers enabled="false" first-number="1" first-numbered-page="1" horizontal-location="right" style="Page Number" vertical-location="bottom"/>
<Task-table>
    <Task-category name="&lt;default&gt;">
    </Task-category>
</Task-table>
<Annotation-table>
    <Annotation-category name="&lt;default&gt;">
    </Annotation-category>
</Annotation-table>
<Task>
</Task>
<Group labelreference="L37" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Example 5.2.3 Nonlinear Radiation at the Surface</Text-field>
</Input>
</Group>
<Group labelreference="L36" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;</Text-field>
</Input>
</Group>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(linalg):with(plots):</Text-field>
</Input>
</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ge:=diff(u(x,t),t)=diff(u(x,t),x$2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZ2VHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2JEkieEdGJEkidEdGJEYuLUYnNiRGKi1JIiRHRig2JEYtIiIj">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJ1RzYiNiRJInhHRilJInRHRilGLC1GJDYkLUYkNiRGJ0YrRis=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=u(x,t)-1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLCYtSSJ1R0YkNiRJInhHRiRJInRHRiQiIiJGKyEiIg==">LCYtSSJ1RzYiNiRJInhHRiVJInRHRiUiIiJGKSEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=diff(u(x,t),x)-1+(u(x,t))^4;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLCgtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUdGJDYkSSJ4R0YkSSJ0R0YkRi0iIiJGLyEiIiokKUYqIiIlRi9GLw==">LCgtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUc2IjYkSSJ4R0YpSSJ0R0YpRisiIiJGLSEiIiokKUYnIiIlRi1GLQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">IC:=u(x,0)=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjSUNHNiIvLUkidUdGJDYkSSJ4R0YkIiIhRio=">Ly1JInVHNiI2JEkieEdGJSIiIUYo</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">N:=4;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTkc2IiIiJQ==">IiIl</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">L:=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTEc2IiIiIg==">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxf:=1/2*(-u[2](t)-3*u[0](t)+4*u[1](t))/h;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZHlkeGZHNiIsJCooIyIiIiIiI0YoLCgtJkkidUdGJDYjRik2I0kidEdGJCEiIiomIiIkRigtJkYtNiMiIiFGL0YoRjEqJiIiJUYoLSZGLTYjRihGL0YoRihGKEkiaEdGJEYxRig=">LCQqKCMiIiIiIiNGJSwoLSZJInVHNiI2I0YmNiNJInRHRishIiIqJiIiJEYlLSZGKjYjIiIhRi1GJUYvKiYiIiVGJS0mRio2I0YlRi1GJUYlRiVJImhHRitGL0Yl</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxb:=1/2*(u[N-1](t)+3*u[N+1](t)-4*u[N](t))/h;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZHlkeGJHNiIsJCooIyIiIiIiI0YoLCgtJkkidUdGJDYjIiIkNiNJInRHRiRGKComRi9GKC0mRi02IyIiJkYwRihGKComIiIlRigtJkYtNiNGOEYwRighIiJGKEkiaEdGJEY8Rig=">LCQqKCMiIiIiIiNGJSwoLSZJInVHNiI2IyIiJDYjSSJ0R0YrRiUqJkYtRiUtJkYqNiMiIiZGLkYlRiUqJiIiJUYlLSZGKjYjRjZGLkYlISIiRiVJImhHRitGOkYl</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydx:=1/2/h*(u[m+1](t)-u[m-1](t));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklZHlkeEc2IiwkKigjIiIiIiIjRihJImhHRiQhIiIsJi0mSSJ1R0YkNiMsJkkibUdGJEYoRihGKDYjSSJ0R0YkRigtJkYvNiMsJkYyRihGKEYrRjNGK0YoRig=">LCQqKCMiIiIiIiNGJUkiaEc2IiEiIiwmLSZJInVHRig2IywmSSJtR0YoRiVGJUYlNiNJInRHRihGJS0mRi02IywmRjBGJUYlRilGMUYpRiVGJQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">d2ydx2:=1/h^2*(u[m-1](t)-2*u[m](t)+u[m+1](t));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknZDJ5ZHgyRzYiKiYpSSJoR0YkIiIjISIiLCgtJkkidUdGJDYjLCZJIm1HRiQiIiJGMUYpNiNJInRHRiRGMSomRihGMS0mRi02I0YwRjJGMUYpLSZGLTYjLCZGMEYxRjFGMUYyRjFGMQ==">KiYpSSJoRzYiIiIjISIiLCgtJkkidUdGJTYjLCZJIm1HRiUiIiJGL0YnNiNJInRHRiVGLyomRiZGLy0mRis2I0YuRjBGL0YnLSZGKzYjLCZGLkYvRi9GL0YwRi9GLw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=subs(diff(u(x,t),x)=dydxf,u(x,t)=u[0](t),x=0,bc1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLCYtJkkidUdGJDYjIiIhNiNJInRHRiQiIiJGLSEiIg==">LCYtJkkidUc2IjYjIiIhNiNJInRHRiYiIiJGKyEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=subs(diff(u(x,t),x)=dydxb,u(x,t)=u[N+1](t),x=1,bc2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLCgqKCMiIiIiIiNGKCwoLSZJInVHRiQ2IyIiJDYjSSJ0R0YkRigqJkYvRigtJkYtNiMiIiZGMEYoRigqJiIiJUYoLSZGLTYjRjhGMEYoISIiRihJImhHRiRGPEYoRihGPCokKUYzRjhGKEYo">LCgqKCMiIiIiIiNGJSwoLSZJInVHNiI2IyIiJDYjSSJ0R0YrRiUqJkYtRiUtJkYqNiMiIiZGLkYlRiUqJiIiJUYlLSZGKjYjRjZGLkYlISIiRiVJImhHRitGOkYlRiVGOiokKUYxRjZGJUYl</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L40" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Differentiate the boundary conditions:</Text-field>
</Input>
</Group>
<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[0]:=diff(bc1,t); </Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiEtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLSZJInVHRiVGJjYjSSJ0R0YlRjA=">LUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1RzYiNiMiIiE2I0kidEdGKUYt</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[N+1]:=diff(bc2,t); </Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiYsJiooIyIiIiIiI0YrLCgtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLSZJInVHRiU2IyIiJDYjSSJ0R0YlRjhGKyomRjZGKy1GLzYkLSZGNEYmRjdGOEYrRisqJiIiJUYrLUYvNiQtJkY0NiNGP0Y3RjhGKyEiIkYrSSJoR0YlRkVGKyooRj9GKylGPEY2RitGOkYrRis=">LCYqKCMiIiIiIiNGJSwoLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1RzYiNiMiIiQ2I0kidEdGL0YzRiUqJkYxRiUtRik2JC0mRi42IyIiJkYyRjNGJUYlKiYiIiVGJS1GKTYkLSZGLjYjRjxGMkYzRiUhIiJGJUkiaEdGL0ZCRiUqKEY8RiUpRjdGMUYlRjVGJUYl</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i]:=diff(u[i](t),t)= subs(diff(u(x,t),x$2) = subs(m=i,d2ydx2),diff(u(x,t),x) = subs(m=i,dydx),u(x,t)=u[i](t),x=i*h,rhs(ge));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxKiYpSSJoR0YlIiIjISIiLCgtJkYvNiMiIiFGMEYnKiZGNUYnRi1GJ0Y2LSZGLzYjRjVGMEYnRic=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIiNiNJInRHRipGLiomKUkiaEdGKiIiIyEiIiwoLSZGKTYjIiIhRi1GLComRjJGLEYnRixGMy0mRik2I0YyRi1GLEYs</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxKiYpSSJoR0YlRichIiIsKC0mRi82IyIiIkYwRjoqJkYnRjpGLUY6RjUtJkYvNiMiIiRGMEY6Rjo=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIjNiNJInRHRipGLiomKUkiaEdGKkYsISIiLCgtJkYpNiMiIiJGLUY3KiZGLEY3RidGN0YyLSZGKTYjIiIkRi1GN0Y3</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiQvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxKiYpSSJoR0YlIiIjISIiLCgtJkYvNiNGNUYwIiIiKiZGNUY7Ri1GO0Y2LSZGLzYjIiIlRjBGO0Y7">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIkNiNJInRHRipGLiomKUkiaEdGKiIiIyEiIiwoLSZGKTYjRjJGLSIiIiomRjJGOEYnRjhGMy0mRik2IyIiJUYtRjhGOA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiUvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxKiYpSSJoR0YlIiIjISIiLCgtJkYvNiMiIiRGMCIiIiomRjVGPEYtRjxGNi0mRi82IyIiJkYwRjxGPA==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIlNiNJInRHRipGLiomKUkiaEdGKiIiIyEiIiwoLSZGKTYjIiIkRi0iIiIqJkYyRjlGJ0Y5RjMtJkYpNiMiIiZGLUY5Rjk=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">h:=L/(N+1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiaEc2IiMiIiIiIiY=">IyIiIiIiJg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do eq[i]:=eval(eq[i]);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiEtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLSZJInVHRiVGJjYjSSJ0R0YlRjA=">LUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1RzYiNiMiIiE2I0kidEdGKUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCgqJiIjREYnLSZGLzYjIiIhRjBGJ0YnKiYiI11GJ0YtRichIiIqJkY0RictJkYvNiMiIiNGMEYnRic=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIiNiNJInRHRipGLiwoKiYiI0RGLC0mRik2IyIiIUYtRixGLComIiNdRixGJ0YsISIiKiZGMUYsLSZGKTYjIiIjRi1GLEYs</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCgqJiIjRCIiIi0mRi82I0Y1RjBGNUY1KiYiI11GNUYtRjUhIiIqJkY0RjUtJkYvNiMiIiRGMEY1RjU=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIjNiNJInRHRipGLiwoKiYiI0QiIiItJkYpNiNGMkYtRjJGMiomIiNdRjJGJ0YyISIiKiZGMUYyLSZGKTYjIiIkRi1GMkYy</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiQvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCgqJiIjRCIiIi0mRi82IyIiI0YwRjVGNSomIiNdRjVGLUY1ISIiKiZGNEY1LSZGLzYjIiIlRjBGNUY1">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIkNiNJInRHRipGLiwoKiYiI0QiIiItJkYpNiMiIiNGLUYyRjIqJiIjXUYyRidGMiEiIiomRjFGMi0mRik2IyIiJUYtRjJGMg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiUvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYxLCgqJiIjRCIiIi0mRi82IyIiJEYwRjVGNSomIiNdRjVGLUY1ISIiKiZGNEY1LSZGLzYjIiImRjBGNUY1">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIlNiNJInRHRipGLiwoKiYiI0QiIiItJkYpNiMiIiRGLUYyRjIqJiIjXUYyRidGMiEiIiomRjFGMi0mRik2IyIiJkYtRjJGMg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiYsKiomI0YnIiIjIiIiLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlNiMiIiQ2I0kidEdGJUY3RixGLComIyIjOkYrRiwtRi42JC0mRjNGJkY2RjdGLEYsKiYiIzVGLC1GLjYkLSZGMzYjIiIlRjZGN0YsISIiKihGRkYsKUY9RjVGLEY7RixGLA==">LCoqJiMiIiYiIiMiIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLSZJInVHNiI2IyIiJDYjSSJ0R0YvRjNGJ0YnKiYjIiM6RiZGJy1GKTYkLSZGLjYjRiVGMkYzRidGJyomIiM1RictRik2JC0mRi42IyIiJUYyRjNGJyEiIiooRkNGJylGOUYxRidGN0YnRic=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eqs:=seq((eq[j]),j=0..N+1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkZXFzRzYiNigtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLSZJInVHRiQ2IyIiITYjSSJ0R0YkRjAvLUYnNiQtJkYsNiMiIiJGL0YwLCgqJiIjREY3RipGN0Y3KiYiI11GN0Y0RjchIiIqJkY6RjctJkYsNiMiIiNGL0Y3RjcvLUYnNiRGP0YwLCgqJkY6RjdGNEY3RjcqJkY8RjdGP0Y3Rj0qJkY6RjctJkYsNiMiIiRGL0Y3RjcvLUYnNiRGSkYwLChGPkY3KiZGPEY3RkpGN0Y9KiZGOkY3LSZGLDYjIiIlRi9GN0Y3Ly1GJzYkRlRGMCwoRklGNyomRjxGN0ZURjdGPSomRjpGNy0mRiw2IyIiJkYvRjdGNywqKiYjRltvRkJGN0ZPRjdGNyomIyIjOkZCRjctRic2JEZobkYwRjdGNyomIiM1RjdGWUY3Rj0qKEZXRjcpRmhuRk1GN0Zib0Y3Rjc=">NigtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLSZJInVHNiI2IyIiITYjSSJ0R0YqRi4vLUYkNiQtJkYpNiMiIiJGLUYuLCgqJiIjREY1RidGNUY1KiYiI11GNUYyRjUhIiIqJkY4RjUtJkYpNiMiIiNGLUY1RjUvLUYkNiRGPUYuLCgqJkY4RjVGMkY1RjUqJkY6RjVGPUY1RjsqJkY4RjUtJkYpNiMiIiRGLUY1RjUvLUYkNiRGSEYuLChGPEY1KiZGOkY1RkhGNUY7KiZGOEY1LSZGKTYjIiIlRi1GNUY1Ly1GJDYkRlJGLiwoRkdGNSomRjpGNUZSRjVGOyomRjhGNS0mRik2IyIiJkYtRjVGNSwqKiYjRmluRkBGNUZNRjVGNSomIyIjOkZARjUtRiQ2JEZmbkYuRjVGNSomIiM1RjVGV0Y1RjsqKEZVRjUpRmZuRktGNUZgb0Y1RjU=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L41" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter the initial conditions separately for the boundary values consistent with the boundary conditions:</Text-field>
</Input>
</Group>
<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=seq(u[i](t),i=0..N+1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiWUc2IjYoLSZJInVHRiQ2IyIiITYjSSJ0R0YkLSZGKDYjIiIiRistJkYoNiMiIiNGKy0mRig2IyIiJEYrLSZGKDYjIiIlRistJkYoNiMiIiZGKw==">NigtJkkidUc2IjYjIiIhNiNJInRHRiYtJkYlNiMiIiJGKS0mRiU2IyIiI0YpLSZGJTYjIiIkRiktJkYlNiMiIiVGKS0mRiU2IyIiJkYp</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ICs:=u[0](0)=1,seq(u[i](0)=rhs(IC),i=1..N),u[N+1](0)=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkSUNzRzYiNigvLSZJInVHRiQ2IyIiIUYqIiIiLy0mRik2I0YsRipGKy8tJkYpNiMiIiNGKkYrLy0mRik2IyIiJEYqRisvLSZGKTYjIiIlRipGKy8tJkYpNiMiIiZGKkYr">NigvLSZJInVHNiI2IyIiIUYoIiIiLy0mRiY2I0YqRihGKS8tJkYmNiMiIiNGKEYpLy0mRiY2IyIiJEYoRikvLSZGJjYjIiIlRihGKS8tJkYmNiMiIiZGKEYp</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L24" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol:=dsolve({eqs,ICs},{Y},type=numeric,output=listprocedure);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pkkkc29sRzYiNykvSSJ0R0YkZio2I0YnNidJJHJlc0dGJEklZGF0YUdGJEkpc29sbnByb2NHRiRJKW91dHBvaW50R0YkRic2I0lpbkNvcHlyaWdodH4oYyl+MjAwMH5ieX5XYXRlcmxvb35NYXBsZX5JbmMufkFsbH5yaWdodHN+cmVzZXJ2ZWQuR0YkRiRDKT5JOF9FbnZEU051bWVyaWNTYXZlRGlnaXRzR0YkSSdEaWdpdHNHRiQ+RjQiIzlAJS9JLV9FbnZJbkZzb2x2ZUdGJEkldHJ1ZUclKnByb3RlY3RlZEc+Ri4tJkkmZXZhbGZHRjs2I0YzRik+Ri4tRj9GKT5GLC1JJWV2YWxHRjs2IyZJPGRzb2x2ZS9udW1lcmljL2RhdGEvbW9kdWxlc0dJKF9zeXNsaWJHRiQ2IyIiIj5GLS1fRixJJEdldEdGJDYjUS9zb2xuX3Byb2NlZHVyZUYkQCQ0LUkldHlwZUdGOzYkRi4uSShudW1lcmljR0Y7QyRALi1JJ21lbWJlckdGOzYkRic3K1Emc3RhcnRGJC5JJnN0YXJ0R0YkUSdtZXRob2RGJC5JJ21ldGhvZEdGJFElbGVmdEYkUSZyaWdodEYkUSlsZWZ0ZGF0YUYkUSpyaWdodGRhdGFGJFErZW5naW5lZGF0YUYkQyRAJS1GZm42JEYnNyRGam5GXW8+RistRi02Iy1JKGNvbnZlcnRHRjs2JEYnLkknc3RyaW5nR0Y7PkYrLUYtRilAJi1GVTYkRisuSSZhcnJheUdGO08tRkU2JEYrRkswRitRKXByb2NuYW1lRiRPRistRmZuNiRGJzckUSVsYXN0RiRRKGluaXRpYWxGJEMkRmFwQCQtRlU2JEYrLkklbGlzdEdGO08mRitGSi1GZm42JEYnNyQuSSVsYXN0R0YkLkkoaW5pdGlhbEdGJEMkRmlvRmRxMy1GVTYkRi5JIj1HRjstRmZuNiQtSSRsaHNHRjs2I0YuNyRGYnFGYHJDJEAlLUZVNiQtSSRyaHNHRjtGW3NGZ3E+RistRi02Iy9GYnE3JCIiIS1JI29wR0Y7NiNGYXM+RistRi02Iy9GYnE3JEZLRmFzRmRxL0YuUS5zb2xucHJvY2VkdXJlRiRPLUZFNiNGLS9GLlEoc3lzdmFyc0YkTy1GTjYjRmd0QCUwJSlwcm9jbmFtZUdJKHVua25vd25HRiRPLS5GXXVGKUMkPkYnLUkocG9pbnR0b0dGOzYjJi1GTjYjUTBzb2xuX3Byb2NlZHVyZXNGJEZKTy0uRidGKVolQyQ+RistRi1GW3NGanFGJFlGJEYkRiRGJC8tJkkidUdGJDYjRmhzRilmKkYpNidGK0YsRi1GLkkodVswXSh0KUdGJEYvRiRDKUYyRjVGN0ZDRkxAJEZTQyRALkZlbkZkb0ZecUMkRmFwQCRGZXFPJkYrNiMiIiNGW3JDJEZpb0Zgd0ZjckMkQCVGX3NGY3M+RistRi02Iy9GYnE3JEZkd0Zhc0Zgd0ZhdEZjdEZmdEZodEAlRlx1Rl91QyQ+Rmp2LUZldTYjJkZodUZjd08tLkZqdkYpWiVDJEZgdkZid0YkRmJ2RiRGJEYkLy0mRmZ2RkpGKWYqRik2J0YrRixGLUYuSSh1WzFdKHQpR0YkRi9GJEMpRjJGNUY3RkNGTEAkRlNDJEAuRmVuRmRvRl5xQyRGYXBAJEZlcU8mRis2IyIiJEZbckMkRmlvRmN5RmNyQyRAJUZfc0Zjcz5GKy1GLTYjL0ZicTckRmd5RmFzRmN5RmF0RmN0RmZ0Rmh0QCVGXHVGX3VDJD5GXXktRmV1NiMmRmh1RmZ5Ty0uRl15RilaJUMkRmB2RmV5RiRGYnZGJEYkRiQvLSZGZnZGY3dGKWYqRik2J0YrRixGLUYuSSh1WzJdKHQpR0YkRi9GJEMpRjJGNUY3RkNGTEAkRlNDJEAuRmVuRmRvRl5xQyRGYXBAJEZlcU8mRis2IyIiJUZbckMkRmlvRmZbbEZjckMkQCVGX3NGY3M+RistRi02Iy9GYnE3JEZqW2xGYXNGZltsRmF0RmN0RmZ0Rmh0QCVGXHVGX3VDJD5GYFtsLUZldTYjJkZodUZpW2xPLS5GYFtsRilaJUMkRmB2RmhbbEYkRmJ2RiRGJEYkLy0mRmZ2RmZ5RilmKkYpNidGK0YsRi1GLkkodVszXSh0KUdGJEYvRiRDKUYyRjVGN0ZDRkxAJEZTQyRALkZlbkZkb0ZecUMkRmFwQCRGZXFPJkYrNiMiIiZGW3JDJEZpb0ZpXWxGY3JDJEAlRl9zRmNzPkYrLUYtNiMvRmJxNyRGXV5sRmFzRmldbEZhdEZjdEZmdEZodEAlRlx1Rl91QyQ+RmNdbC1GZXU2IyZGaHVGXF5sTy0uRmNdbEYpWiVDJEZgdkZbXmxGJEZidkYkRiRGJC8tJkZmdkZpW2xGKWYqRik2J0YrRixGLUYuSSh1WzRdKHQpR0YkRi9GJEMpRjJGNUY3RkNGTEAkRlNDJEAuRmVuRmRvRl5xQyRGYXBAJEZlcU8mRis2IyIiJ0ZbckMkRmlvRlxgbEZjckMkQCVGX3NGY3M+RistRi02Iy9GYnE3JEZgYGxGYXNGXGBsRmF0RmN0RmZ0Rmh0QCVGXHVGX3VDJD5GZl9sLUZldTYjJkZodUZfYGxPLS5GZl9sRilaJUMkRmB2Rl5gbEYkRmJ2RiRGJEYkLy0mRmZ2RlxebEYpZipGKTYnRitGLEYtRi5JKHVbNV0odClHRiRGL0YkQylGMkY1RjdGQ0ZMQCRGU0MkQC5GZW5GZG9GXnFDJEZhcEAkRmVxTyZGKzYjIiIoRltyQyRGaW9GX2JsRmNyQyRAJUZfc0Zjcz5GKy1GLTYjL0ZicTckRmNibEZhc0ZfYmxGYXRGY3RGZnRGaHRAJUZcdUZfdUMkPkZpYWwtRmV1NiMmRmh1RmJibE8tLkZpYWxGKVolQyRGYHZGYWJsRiRGYnZGJEYkRiQ=">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L25" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do U[i]:=subs(sol,u[i](t));od:</Text-field>
</Input>
</Group>
<Group labelreference="L39" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">pp:=plot([seq(U[i](t),i=0..N+1)],t=0..1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 7064 characters]">[encoded data, 7032 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display(pp,axes=boxed,title=&quot;Figure Exp. 5.2.5.&quot;,thickness=4,labels=[t,&quot;u&quot;]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">[encoded data, 12688 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L28" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">tf:=.2;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjdGZHNiIkIiIjISIi">JCIiIyEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">M:=30;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTUc2IiIjSQ==">IiNJ</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L30" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">T1:=[seq(tf*i/M,i=0..M)];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjVDFHNiI3QSQiIiFGJyQiK25tbW1tISM3JCIrTExMTDghIzYkIisrKysrP0YtJCIrbm1tbUVGLSQiK0xMTExMRi0kIisrKysrU0YtJCIrbm1tbVlGLSQiK0xMTExgRi0kIisrKysrZ0YtJEYpRi0kIitMTExMdEYtJCIrKysrKyEpRi0kIitubW1tJylGLSQiK0xMTEwkKkYtJCIrKysrKzUhIzUkIitubW1tNUZHJCIrTExMTDZGRyQiKysrKys3RkckIitubW1tN0ZHJEYsRkckIisrKysrOUZHJCIrbm1tbTlGRyQiK0xMTEw6RkckIisrKysrO0ZHJCIrbm1tbTtGRyQiK0xMTEw8RkckIisrKysrPUZHJCIrbm1tbT1GRyQiK0xMTEw+RkckRi9GRw==">N0EkIiIhRiQkIitubW1tbSEjNyQiK0xMTEw4ISM2JCIrKysrKz9GKiQiK25tbW1FRiokIitMTExMTEYqJCIrKysrK1NGKiQiK25tbW1ZRiokIitMTExMYEYqJCIrKysrK2dGKiRGJkYqJCIrTExMTHRGKiQiKysrKyshKUYqJCIrbm1tbScpRiokIitMTExMJCpGKiQiKysrKys1ISM1JCIrbm1tbTVGRCQiK0xMTEw2RkQkIisrKysrN0ZEJCIrbm1tbTdGRCRGKUZEJCIrKysrKzlGRCQiK25tbW05RkQkIitMTExMOkZEJCIrKysrKztGRCQiK25tbW07RkQkIitMTExMPEZEJCIrKysrKz1GRCQiK25tbW09RkQkIitMTExMPkZEJEYsRkQ=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L31" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">PP:=matrix(N+2,M+1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjUFBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIic7RioiI0o3Ig==">PTYiNiQ7IiIiIiInO0YmIiNKRVxbbCE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L32" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N+2 do PP[i,1]:=evalf(subs(x=(i-1)*h,rhs(IC)));od:</Text-field>
</Input>
</Group>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N+2 do for j from 2 to M+1 do PP[i,j]:=evalf(subs(t=T1[j],U[i-1](t)));od;od:</Text-field>
</Input>
</Group>
<Group labelreference="L34" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata := [seq([ seq([(i-1)*h,T1[j],PP[i,j]], i=1..N+2)], j=1..M+1)]:</Text-field>
</Input>
</Group>
<Group labelreference="L35" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata(plotdata,axes=boxed,title=&quot;Figure Exp. 5.2.6.&quot;,labels=[x,t,u],orientation=[-90,90]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="three-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">[encoded data, 8776 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L38" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>