<?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="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="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="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="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="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="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="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="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="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="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 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="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="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="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="Normal256" 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="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="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="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="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="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="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="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="L24" drawlabel="true">
<Input>
<Text-field style="Heading 3" italic="false" layout="Heading 3"><Font italic="false">Example 3.2.9  Multiple Steady States in a Catalyst Pellet</Font></Text-field>
</Input>
</Group>
<Group labelreference="L25" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The catalyst pellet (example 3.2.2) is solved below using Maple's 'dsolve' command.  The reaction order is taken to be second order.  The governing equation becomes</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="2D Math" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">The boundary conditions are the same as that of example 3.2.2.  This problem is solved in Maple below:</Text-field>
</Input>
</Group>
<Group labelreference="L23" 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(plots):</Text-field>
</Input>
</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq:=diff(y(x),x$2)=Phi^2*y(x)^2*exp(gamma*beta*(1-y(x))/(1+beta*(1-y(x))));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjRXFHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInlHRiQ2I0kieEdGJC1JIiRHRig2JEYtIiIjKigpSSRQaGlHRiRGMSIiIilGKkYxRjUtSSRleHBHNiRGKEkoX3N5c2xpYkdGJDYjKipJJmdhbW1hR0YoRjVJJWJldGFHRiRGNSwmRjVGNUYqISIiRjUsJkY1RjUqJkY+RjVGP0Y1RjVGQEY1">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JInlHNiI2I0kieEdGK0YtRi0qKEkkUGhpR0YrIiIjRilGMC1JJGV4cEc2JEYlSShfc3lzbGliR0YrNiMqKkkmZ2FtbWFHRiUiIiJJJWJldGFHRitGOCwmRjhGOEYpISIiRjgsJkY4RjgqJkY5RjhGOkY4RjhGO0Y4</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq:=subs(Phi=0.2,gamma=20,beta=0.8,Eq);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZXFHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInlHRiQ2I0kieEdGJC1JIiRHRig2JEYtIiIjLCQqKCQiIiUhIiMiIiIpRipGMUY3LUkkZXhwRzYkRihJKF9zeXNsaWJHRiQ2IywkKigkIiRnIiEiIkY3LCZGN0Y3RipGQkY3LCYkIiM9RkJGNyomJCIiKUZCRjdGKkY3RkJGQkY3RjdGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JInlHNiI2I0kieEdGK0YtRi0sJComRikiIiMtSSRleHBHNiRGJUkoX3N5c2xpYkdGKzYjLCQqJiwmIiIiRjlGKSEiIkY5LCYkIiM9RjpGOUYpJCEiKUY6RjokIiRnIkY6RjkkIiIlISIj</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">BCs:=(D(y)(0),y(1)-1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkQkNzRzYiNiQtLUkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjSSJ5R0YkNiMiIiEsJi1GLTYjIiIiRjNGMyEiIg==">NiQtLUkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSJ5R0YpNiMiIiEsJi1GKzYjIiIiRjEhIiJGMQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol:=dsolve({eq,BCs},{y(x)},type=numeric);</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="L26" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The solution at x = 0 and 1 are found as:</Text-field>
</Input>
</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(0);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NyUvSSJ4RzYiJCIiIUYnLy1JInlHRiU2I0YkJCIzayNSIWZmVCdvcyohIz0vLUklZGlmZkclKnByb3RlY3RlZEc2JEYpRiRGJg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NyUvSSJ4RzYiJCIiIiIiIS8tSSJ5R0YlNiNGJCQiMikpKioqKioqKioqKioqKioqISM8Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiRGKkYkJCIzKVJrKSopeXJhXF4hIz4=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">odeplot(sol,[x,y(x)],0..1,thickness=4,title=&quot;Figure Exp. 3.2.17.&quot;,axes=boxed);</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">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</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L28" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">By default Maple picks up the higher solution.  The other two solutions are found by giving an initial guess.  For this problem, the approximation values for y(0) are provided.</Text-field>
</Input>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">p[1]:=odeplot(sol,[x,y(x)],0..1,thickness=4,color=red,axes=boxed):</Text-field>
</Input>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sola:=dsolve({eq,y(0)-0.7,y(1)-1},{y(x)},type=numeric,output=array([seq(i/7.,i=0..7)]));</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="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol:=dsolve({eq,BCs},{y(x)},type=numeric,approxsoln=sola);</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="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(0);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NyUvSSJ4RzYiJCIiIUYnLy1JInlHRiU2I0YkJCIzWSQpR3ohKj1dWXIhIz0vLUklZGlmZkclKnByb3RlY3RlZEc2JEYpRiRGJg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NyUvSSJ4RzYiJCIiIiIiIS8tSSJ5R0YlNiNGJCQiMikpKioqKioqKioqKioqKioqISM8Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiRGKkYkJCIzOlpccHdMZ0ZUISM9</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">p[2]:=odeplot(sol,[x,y(x)],0..1,thickness=4,color=blue,axes=boxed):</Text-field>
</Input>
</Group>
<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sola:=dsolve({eq,y(0)-0.1,y(1)-1},{y(x)},type=numeric,output=array([seq(i/7.,i=0..7)]));</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="L18" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol:=dsolve({eq,BCs},{y(x)},type=numeric,approxsoln=sola);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pkkkc29sRzYiZio2I0kmeF9idnBHRiQ2KEkkcmVzR0YkSSVkYXRhR0YkSSlzb2xucHJvY0dGJEkmbmRzb2xHRiRJKW91dHBvaW50R0YkSSJpR0YkNiNJaW5Db3B5cmlnaHR+KGMpfjIwMDB+Ynl+V2F0ZXJsb29+TWFwbGV+SW5jLn5BbGx+cmlnaHRzfnJlc2VydmVkLkdGJEYkQyk+SThfRW52RFNOdW1lcmljU2F2ZURpZ2l0c0dGJEknRGlnaXRzR0YkPkY0IiM5QCUvSS1fRW52SW5Gc29sdmVHRiRJJXRydWVHJSpwcm90ZWN0ZWRHPkYtLSZJJmV2YWxmR0Y7NiNGM0YmPkYtLUY/RiY+RiotSSVldmFsR0Y7NiMmSTxkc29sdmUvbnVtZXJpYy9kYXRhL21vZHVsZXNHSShfc3lzbGliR0YkNiMiIiQ+RistX0YqSSRHZXRHRiQ2I1Evc29sbl9wcm9jZWR1cmVGJEAkNC1JJXR5cGVHRjs2JEYtLkkobnVtZXJpY0dGO0ArL0YtUS5zb2xucHJvY2VkdXJlRiRPLUZFNiNGKy1JJ21lbWJlckdGOzYkRi03KVEmc3RhcnRGJFElbGVmdEYkUSZyaWdodEYkUSplcnJvcnByb2NGJFEocmF3ZGF0YUYkUSZvcmRlckYkUSZlcnJvckYkTy1GK0YmL0YtUShzeXN2YXJzRiRPLUZONiNGZ28wJSlwcm9jbmFtZUdJKHVua25vd25HRiRPLS5GXHBGJkMkPkYsLUkocG9pbnR0b0dGOzYjJi1GTjYjUTBzb2xuX3Byb2NlZHVyZXNGJDYjIiIhTy0uRixGJlolQyQ+RiktRis2I0YtNyQvSSJ4R0YkJkYpNiMiIiItSSRzZXFHRjs2JC8mLjckLUkieUdGJDYjRmZxLUklZGlmZkdGOzYkRmFyRmZxNiNGLiZGKTYjLCZGLkZpcUZpcUZpcS9GLjtGaXEiIiNGJFlGJEYkRiRGJA==">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(0);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NyUvSSJ4RzYiJCIiIUYnLy1JInlHRiU2I0YkJCIzJXpML0RLbidSYSEjPi8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkRilGJEYm</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NyUvSSJ4RzYiJCIiIiIiIS8tSSJ5R0YlNiNGJCQiMm0qKioqKioqKioqKioqKiohIzwvLUklZGlmZkclKnByb3RlY3RlZEc2JEYqRiQkIjN1NyZlbipvcFQ/Ri8=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">p[3]:=odeplot(sol,[x,y(x)],0..1,thickness=4,color=brown,title=&quot;Figure Exp. 3.2.18.&quot;,axes=boxed):</Text-field>
</Input>
</Group>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">pt:=textplot([0.5,0.5,[Phi=0.2,gamma=20,beta=0.8]]):</Text-field>
</Input>
</Group>
<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({seq(p[i],i=1..3),pt});</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, 18612 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Hence, all of the multiple states can be predicted using Maple.  The solution differs slightly from the first order reaction discussed earlier</Text-field>
</Input>
</Group>
<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>