<?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="L70" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Example 5.5</Text-field>
</Input>
</Group>
<Group labelreference="L78" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Consider the diffusion of a gas (A) through a stagnant liquid (B) in a container.<Font superscript="true">[2]</Font>  A reacts with B according to the irreversible reaction.  </Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">Both dimensionless and dimensional plots are obtained.</Text-field>
</Input>
</Group>
<Group labelreference="L69" 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)+Phi^2*u(x,t);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZ2VHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2JEkieEdGJEkidEdGJEYuLCYtRic2JEYqLUkiJEdGKDYkRi0iIiMiIiIqJilJJFBoaUdGJEY1RjZGKkY2RjY=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJ1RzYiNiRJInhHRilJInRHRilGLCwmLUYkNiQtRiQ2JEYnRitGKyIiIiomKUkkUGhpR0YpIiIjRjJGJ0YyRjI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">k:=2e-7;Dab:=2e-9;ca0:=0.01;Lc:=10e-2;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pkkia0c2IiQiIiMhIig=">JCIiIyEiKA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkRGFiRzYiJCIiIyEiKg==">JCIiIyEiKg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkY2EwRzYiJCIiIiEiIw==">JCIiIiEiIw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjTGNHNiIkIiM1ISIj">JCIjNSEiIw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Phi:=sqrt(k*Lc^2/Dab);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkUGhpRzYiJCIrKysrKzUhIio=">JCIrKysrKzUhIio=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L7" 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="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=diff(u(x,t),x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2JEkieEdGJEkidEdGJEYs">LUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHNiI2JEkieEdGKEkidEdGKEYq</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" 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="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">N:=10;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTkc2IiIjNQ==">IiM1</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L11" 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="L12" 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>
</Group>
<Group labelreference="L13" 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>
</Group>
<Group labelreference="L14" 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>
</Group>
<Group labelreference="L15" 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>
</Group>
<Group labelreference="L16" 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>
</Group>
<Group labelreference="L17" 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>
</Group>
<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[0]:=bc1; </Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiEsJi0mSSJ1R0YlRiY2I0kidEdGJSIiIkYuISIi">LCYtJkkidUc2IjYjIiIhNiNJInRHRiYiIiJGKyEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[N+1]:=bc2; </Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzYsJCooIyIiIiIiI0YrLCgtJkkidUdGJTYjIiIqNiNJInRHRiVGKyomIiIkRistJkYwRiZGM0YrRisqJiIiJUYrLSZGMDYjIiM1RjNGKyEiIkYrSSJoR0YlRj9GKw==">LCQqKCMiIiIiIiNGJSwoLSZJInVHNiI2IyIiKjYjSSJ0R0YrRiUqJiIiJEYlLSZGKjYjIiM2Ri5GJUYlKiYiIiVGJS0mRio2IyIjNUYuRiUhIiJGJUkiaEdGK0Y8RiU=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L20" 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>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[0](t):=(solve(eq[0],u[0](t)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiE2I0kidEdGJiIiIg==">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[N+1](t):=solve(eq[N+1],u[N+1](t));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIzY2I0kidEdGJiwmKiYjIiIiIiIkRi4tJkYlNiMiIipGKUYuISIiKiYjIiIlRi9GLi0mRiU2IyIjNUYpRi5GLg==">LCYqJiMiIiIiIiRGJS0mSSJ1RzYiNiMiIio2I0kidEdGKkYlISIiKiYjIiIlRiZGJS0mRik2IyIjNUYtRiVGJQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i]:=eval(eq[i]);od:</Text-field>
</Input>
</Group>
<Group labelreference="L24" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eqs:=[seq(rhs(eq[j]),j=1..N)]:</Text-field>
</Input>
</Group>
<Group labelreference="L25" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=[seq(u[i](t),i=1..N)];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiWUc2IjcsLSZJInVHRiQ2IyIiIjYjSSJ0R0YkLSZGKDYjIiIjRistJkYoNiMiIiRGKy0mRig2IyIiJUYrLSZGKDYjIiImRistJkYoNiMiIidGKy0mRig2IyIiKEYrLSZGKDYjIiIpRistJkYoNiMiIipGKy0mRig2IyIjNUYr">NywtJkkidUc2IjYjIiIiNiNJInRHRiYtJkYlNiMiIiNGKS0mRiU2IyIiJEYpLSZGJTYjIiIlRiktJkYlNiMiIiZGKS0mRiU2IyIiJ0YpLSZGJTYjIiIoRiktJkYlNiMiIilGKS0mRiU2IyIiKkYpLSZGJTYjIiM1Rik=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L26" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A:=genmatrix(eqs,Y,'b1'):</Text-field>
</Input>
</Group>
<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">b:=matrix(N,1):for i to N do b[i,1]:=-eval(b1[i]);od:evalm(b);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUknbWF0cml4RzYiNiM3LDcjLCQqJiQiIiIiIiFGKylJImhHRiQiIiMhIiJGKzcjRixGMUYxRjFGMUYxRjFGMTcjJEYsRiw=">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L28" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">h:=eval(L/(N+1));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiaEc2IiMiIiIiIzY=">IyIiIiIjNg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A:=map(eval,A):</Text-field>
</Input>
</Group>
<Group labelreference="L30" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">if N &gt; 4 then A:=map(evalf,A);end: </Text-field>
</Input>
</Group>
<Group labelreference="L31" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalm(A);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUknbWF0cml4RzYiNiM3LDcsJCErKysrNUMhIigkIiRAIiIiISRGLUYtRi5GLkYuRi5GLkYuRi43LEYrRihGK0YuRi5GLkYuRi5GLkYuNyxGLkYrRihGK0YuRi5GLkYuRi5GLjcsRi5GLkYrRihGK0YuRi5GLkYuRi43LEYuRi5GLkYrRihGK0YuRi5GLkYuNyxGLkYuRi5GLkYrRihGK0YuRi5GLjcsRi5GLkYuRi5GLkYrRihGK0YuRi43LEYuRi5GLkYuRi5GLkYrRihGK0YuNyxGLkYuRi5GLkYuRi5GLkYrRihGKzcsRi5GLkYuRi5GLkYuRi5GLiQiK25tbW0hKSEiKSQhK25tbW16Rjo=">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L32" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat:=exponential(A,t):</Text-field>
</Input>
</Group>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat:=map(evalf,mat):</Text-field>
</Input>
</Group>
<Group labelreference="L34" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y0:=matrix(N,1):for i from 1 to N do Y0[i,1]:=evalf(subs(x=i*h,rhs(IC)));od:evalm(Y0);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUknbWF0cml4RzYiNiM3LDcjJCIiIUYpRidGJ0YnRidGJ0YnRidGJ0Yn">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L35" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">s1:=evalm(Y0+inverse(A)&amp;*b):</Text-field>
</Input>
</Group>
<Group labelreference="L36" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=evalm(mat&amp;*s1-inverse(A)&amp;*b):</Text-field>
</Input>
</Group>
<Group labelreference="L37" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=map(simplify,Y):</Text-field>
</Input>
</Group>
<Group labelreference="L38" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Digits:=5;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknRGlnaXRzRzYiIiIm">IiIm</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L39" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do u[i](t):=evalf((Y[i,1]));od:</Text-field>
</Input>
</Group>
<Group labelreference="L40" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do u[i](t):=eval(u[i](t));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiE2I0kidEdGJiIiIg==">IiIi</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>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiM2I0kidEdGJiw4KiYkIiY+bykhIigiIiItSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IywkKiYkIiZ0ciUhIiNGMEYqRjAhIiJGMEYwKiYkIiZZIUghIidGMC1GMjYjLCQqJiQiJioqUSVGO0YwRipGMEY8RjBGMComJCImaWslRkBGMC1GMjYjLCQqJiQiJiZ6UUY7RjBGKkYwRjxGMEYwKiYkIiZGTyVGQEYwLUYyNiMsJComJCImXUIkRjtGMEYqRjBGPEYwRjAqJiQiJk1CKUYvRjAtRjI2IywkKiYkIiZ6XiNGO0YwRipGMEY8RjBGMComJCImRjYnRkBGMC1GMjYjLCQqJiQiJmR6IkY7RjBGKkYwRjxGMEY8KiYkIiZUYCIhIiZGMC1GMjYjLCQqJiQiJlg4IkY7RjBGKkYwRjxGMEY8KiYkIiZVXCNGaG9GMC1GMjYjLCQqJiQiJiM+ZiEiJEYwRipGMEY8RjBGPComJCImN00kRmhvRjAtRjI2IywkKiYkIiZPNSNGaHBGMEYqRjBGPEYwRjwqJiQiJkcuJ0Zob0YwLUYyNiMsJComJCImYlkiISIlRjBGKkYwRjxGMEY8JCImYEUiRltyRjA=">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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>
<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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">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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>
<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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">LDgqJiQiJm1nKiEiKCIiIi1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjLCQqJiQiJnRyJSEiI0YnSSJ0R0YtRichIiJGJ0YnKiYkIiZCLiQhIidGJy1GKTYjLCQqJiQiJioqUSVGM0YnRjRGJ0Y1RidGNSomJCImcj8lRjlGJy1GKTYjLCQqJiQiJiZ6UUYzRidGNEYnRjVGJ0YnKiYkIiYpKVEjRjlGJy1GKTYjLCQqJiQiJl1CJEYzRidGNEYnRjVGJ0Y1KiYkIiYjR0tGOUYnLUYpNiMsJComJCImel4jRjNGJ0Y0RidGNUYnRjUqJiQiJkY1IiEiJkYnLUYpNiMsJComJCImZHoiRjNGJ0Y0RidGNUYnRicqJiQiJilcO0ZobkYnLUYpNiMsJComJCImWDgiRjNGJ0Y0RidGNUYnRjUqJiQiJkRDIkZobkYnLUYpNiMsJComJCImIz5mISIkRidGNEYnRjVGJ0YnKiYkIiYhKUgiRmhuRictRik2IywkKiYkIiZPNSNGYXBGJ0Y0RidGNUYnRicqJiQiJnUlPiEiJUYnLUYpNiMsJComJCImYlkiRl5xRidGNEYnRjVGJ0Y1JCImSHkiRl5xRic=</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>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LDgqJiQiJj87IiEiKCIiIi1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjLCQqJiQiJnRyJSEiI0YnSSJ0R0YtRichIiJGJ0YnKiYkIiZBI1tGJkYnLUYpNiMsJComJCImKipRJUYzRidGNEYnRjVGJ0Y1KiYkIiZhOiIhIidGJy1GKTYjLCQqJiQiJiZ6UUYzRidGNEYnRjVGJ0YnKiYkIiY8RCNGQkYnLUYpNiMsJComJCImXUIkRjNGJ0Y0RidGNUYnRjUqJiQiJm8pUkZCRictRik2IywkKiYkIiZ6XiNGM0YnRjRGJ0Y1RidGJyomJCImL3gnRkJGJy1GKTYjLCQqJiQiJmR6IkYzRidGNEYnRjVGJ0Y1KiYkIiZYOSIhIiZGJy1GKTYjLCQqJiQiJlg4IkYzRidGNEYnRjVGJ0YnKiYkIiYmMz9GYW9GJy1GKTYjLCQqJiQiJiM+ZiEiJEYnRjRGJ0Y1RidGNSomJCImKlJTRmFvRictRik2IywkKiYkIiZPNSNGYXBGJ0Y0RidGNUYnRicqJiQiJik9QCEiJUYnLUYpNiMsJComJCImYlkiRl5xRidGNEYnRjVGJ0Y1JCImUCU9Rl5xRic=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIzY2I0kidEdGJiw4KiYkIiY8ViQhIigiIiItSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IywkKiYkIiZ0ciUhIiNGMEYqRjAhIiJGMEYwKiYkIiYqZTghIidGMC1GMjYjLCQqJiQiJioqUSVGO0YwRipGMEY8RjBGPComJCImQywkRkBGMC1GMjYjLCQqJiQiJiZ6UUY7RjBGKkYwRjxGMEYwKiYkIiY1RiZGQEYwLUYyNiMsJComJCImXUIkRjtGMEYqRjBGPEYwRjwqJiQiJjg6KUZARjAtRjI2IywkKiYkIiZ6XiNGO0YwRipGMEY8RjBGMComJCImQT0iISImRjAtRjI2IywkKiYkIiZkeiJGO0YwRipGMEY8RjBGPComJCImZW8iRl9vRjAtRjI2IywkKiYkIiZYOCJGO0YwRipGMEY8RjBGMComJCImIjNERl9vRjAtRjI2IywkKiYkIiYjPmYhIiRGMEYqRjBGPEYwRjwqJiQiJnhTJUZfb0YwLUYyNiMsJComJCImTzUjRmhwRjBGKkYwRjxGMEYwKiYkIiYvOSMhIiVGMC1GMjYjLCQqJiQiJmJZIkZlcUYwRipGMEY8RjBGPCQiJjkmPUZlcUYw">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L75" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Semianalytical solutions are obtained in dimensionless form.  The dimensionless concentration profiles are plotted as:</Text-field>
</Input>
</Group>
<Group labelreference="L73" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">setcolors([&quot;Red&quot;, &quot;Blue&quot;, &quot;LimeGreen&quot;, &quot;Goldenrod&quot;, &quot;maroon&quot;, &quot;DarkTurquoise&quot;, &quot;coral&quot;, &quot;aquamarine&quot;, &quot;magenta&quot;, &quot;khaki&quot;,  &quot;sienna&quot;, &quot;orange&quot;, &quot;yellow&quot;, &quot;gray&quot;]);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NyhRJFJlZDYiUSpMaW1lR3JlZW5GJFEqR29sZGVucm9kRiRRJUJsdWVGJFEtTWVkaXVtT3JjaGlkRiRRLkRhcmtUdXJxdW9pc2VGJA==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L71" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">pp:=plot([seq(u[i](t),i=0..N+1)],t=0..0.4,thickness=4);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 17480 characters]">[encoded data, 17440 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L76" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">arw:=arrow(&lt;0.1,1.01&gt;,&lt;0.1,-0.8&gt;,width=[1/600,relative=false],head_width=[1/200,relative=false],head_length=[1/30,relative=false]):
pt:=textplot([[0.28,0.15,typeset(&quot;Follow the arrow: &quot;,u[0],&quot;(t), ..., &quot;,u[N+1],&quot;(t).&quot;)]]):</Text-field>
</Input>
</Group>
<Group labelreference="L42" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display([pp,pt,arw],title=&quot;Figure Exp. 5.13.&quot;,axes=boxed,labels=[t,&quot;u&quot;]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">[encoded data, 35176 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L43" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">tf:=0.5;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjdGZHNiIkIiImISIi">JCIiJiEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L44" 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="L45" 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="PkkjVDFHNiI3QSQiIiFGJyQiJm5tIiEiJyQiJkxMJEYqJCImKysmRiokIiZubSdGKiQiJkxMKUYqJCImKysiISImJCImbjsiRjUkIiZMTCJGNSQiJitdIkY1JEYpRjUkIiZMJD1GNSQiJisrI0Y1JCImbjsjRjUkIiZMTCNGNSQiJitdI0Y1JCImbm0jRjUkIiZMJEdGNSQiJisrJEY1JCImbjskRjUkRixGNSQiJitdJEY1JCImbm0kRjUkIiZMJFFGNSQiJisrJUY1JCImbjslRjUkIiZMTCVGNSQiJitdJUY1JCImbm0lRjUkIiZMJFtGNSRGLkY1">N0EkIiIhRiQkIiZubSIhIickIiZMTCRGJyQiJisrJkYnJCImbm0nRickIiZMTClGJyQiJisrIiEiJiQiJm47IkYyJCImTEwiRjIkIiYrXSJGMiRGJkYyJCImTCQ9RjIkIiYrKyNGMiQiJm47I0YyJCImTEwjRjIkIiYrXSNGMiQiJm5tI0YyJCImTCRHRjIkIiYrKyRGMiQiJm47JEYyJEYpRjIkIiYrXSRGMiQiJm5tJEYyJCImTCRRRjIkIiYrKyVGMiQiJm47JUYyJCImTEwlRjIkIiYrXSVGMiQiJm5tJUYyJCImTCRbRjIkRitGMg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L46" 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="PkkjUFBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIzc7RioiI0o3Ig==">PTYiNiQ7IiIiIiM3O0YmIiNKRVxbbCE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L47" 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="L48" 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="L49" 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="L50" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata( plotdata, axes=boxed, title=&quot;Figure Exp. 5.14.&quot;,labels=[x,t,u],orientation=[-75,75]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="three-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">[encoded data, 14284 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L79" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The mass transafer flux at x = 0 in dimensionless form is given by:</Text-field>
</Input>
</Group>
<Group labelreference="L51" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">flux:=-dydxf;</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="L52" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot(flux,t=0..0.5,thickness=4,title=&quot;Figure 5.15.&quot;,axes=boxed,labels=[t,&quot;flux&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, 4364 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L83" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Next, the concentraiton profiles are converted to dimensionless form as:</Text-field>
</Input>
</Group>
<Group labelreference="L53" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do ca[i](t):=u[i](t)*ca0;od:</Text-field>
</Input>
</Group>
<Group labelreference="L54" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do ca[i](t1):=subs(t=t1*Dab/Lc^2,ca[i](t));od:</Text-field>
</Input>
</Group>
<Group labelreference="L55" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do p[i]:=plot(ca[i](t1),t1=0..2e6,thickness=3);od:</Text-field>
</Input>
</Group>
<Group labelreference="L72" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">pp:=plot([seq(ca[i](t1),i=0..N+1)],t1=0..2e6,thickness=4);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 18352 characters]">[encoded data, 18312 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L77" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">arw:=arrow(&lt;0.1e6,0.0105&gt;,&lt;1.0e6,-0.0085&gt;,width=[1/1.0e5,relative=false],head_width=[1/5.0e3,relative=false],head_length=[1/30,relative=true]):
pt:=textplot([[1.4e6,0.0015,typeset(&quot;Follow the arrow: &quot;,ca[0],&quot;(t), ..., &quot;,ca[N+1],&quot;(t).&quot;)]]):</Text-field>
</Input>
</Group>
<Group labelreference="L56" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display([pp,pt,arw],title=&quot;Figure Exp. 5.16.&quot;,axes=boxed,labels=[t1,&quot;ca&quot;]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">[encoded data, 35592 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L57" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">tf:=2e6;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjdGZHNiIkIiIjIiIn">JCIiIyIiJw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L58" 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="L59" 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="PkkjVDFHNiI3QSQiIiFGJyQiJm5tJ0YnJCImTEwiIiIiJCImKysjRiwkIiZubSNGLCQiJkxMJEYsJCImKyslRiwkIiZubSVGLCQiJkxMJkYsJCImKysnRiwkRilGLCQiJkxMKEYsJCImKyspRiwkIiZubSlGLCQiJkxMKkYsJCImKysiIiIjJCImbjEiRkYkIiZMOCJGRiQiJis/IkZGJCImbkUiRkYkRitGRiQiJitTIkZGJCImblkiRkYkIiZMYCJGRiQiJitnIkZGJCImbm0iRkYkIiZMdCJGRiQiJishPUZGJCImbic9RkYkIiZMJD5GRiRGLkZG">N0EkIiIhRiQkIiZubSdGJCQiJkxMIiIiIiQiJisrI0YpJCImbm0jRikkIiZMTCRGKSQiJisrJUYpJCImbm0lRikkIiZMTCZGKSQiJisrJ0YpJEYmRikkIiZMTChGKSQiJisrKUYpJCImbm0pRikkIiZMTCpGKSQiJisrIiIiIyQiJm4xIkZDJCImTDgiRkMkIiYrPyJGQyQiJm5FIkZDJEYoRkMkIiYrUyJGQyQiJm5ZIkZDJCImTGAiRkMkIiYrZyJGQyQiJm5tIkZDJCImTHQiRkMkIiYrIT1GQyQiJm4nPUZDJCImTCQ+RkMkRitGQw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L60" 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="PkkjUFBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIzc7RioiI0o3Ig==">PTYiNiQ7IiIiIiM3O0YmIiNKRVxbbCE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L61" 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*Lc,0));od:</Text-field>
</Input>
</Group>
<Group labelreference="L62" 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(t1=T1[j],ca[i-1](t1)));od;od:</Text-field>
</Input>
</Group>
<Group labelreference="L63" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata := [seq([ seq([(i-1)*h*Lc,T1[j],PP[i,j]], i=1..N+2)], j=1..M+1)]:</Text-field>
</Input>
</Group>
<Group labelreference="L64" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata(plotdata,title=&quot;Figure Exp. 5.17.&quot;,axes=boxed, labels=[z,t1,&quot;ca&quot;],orientation=[-75,75]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="three-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">[encoded data, 14232 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L84" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Next, the mass transfer flux is converted to dimensionless form as:</Text-field>
</Input>
</Group>
<Group labelreference="L65" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Flux:=Dab*ca0/Lc*flux:</Text-field>
</Input>
</Group>
<Group labelreference="L66" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Flux:=subs(t=t1*Dab/Lc^2,Flux);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LDgqJiQiJiVlSCEjOiIiIi1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjLCQqJiQiJllWKiEiKkYnSSN0MUdGLUYnISIiRidGJyomJCImMTUiISM5RictRik2IywkKiYkIiYpeigpRjNGJ0Y0RidGNUYnRicqJiQiJlc+I0Y5RictRik2IywkKiYkIiYhZnhGM0YnRjRGJ0Y1RidGJyomJCImY0gkRjlGJy1GKTYjLCQqJiQiJitaJ0YzRidGNEYnRjVGJ0YnKiYkIiZHOiVGOUYnLUYpNiMsJComJCImZS4mRjNGJ0Y0RidGNUYnRicqJiQiJl9pJUY5RictRik2IywkKiYkIiY5ZiRGM0YnRjRGJ0Y1RidGJyomJCImaXIlRjlGJy1GKTYjLCQqJiQiJiFwQUYzRidGNEYnRjVGJ0YnKiYkIiYvYyVGOUYnLUYpNiMsJComJCImUT0iRjNGJ0Y0RidGNUYnRicqJiQiJj9UJUY5RictRik2IywkKiYkIiZzPyUhIzVGJ0Y0RidGNUYnRicqJiQiJkd4J0Y5RictRik2IywkKiYkIiY1JEghIzZGJ0Y0RidGNUYnRickIiZzNyRGOUY1</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L67" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot(Flux,t1=0..2e6,thickness=4,title=&quot;Figure Exp. 5.18.&quot;,axes=boxed,labels=[t,&quot;Flux&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, 4412 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L68" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>