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<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="L72" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Example 6.2</Text-field>
</Input>
</Group>
<Group labelreference="L76" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;with(plottools):with(linalg):with(plots):</Text-field>
</Input>
</Group>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Digits:=12;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknRGlnaXRzRzYiIiM3">IiM3</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ge:=diff(u(x,y),y$2)=-epsilon^2*diff(u(x,y),x$2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZ2VHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2JEkieEdGJEkieUdGJC1JIiRHRig2JEYuIiIjLCQqJilJKGVwc2lsb25HRiRGMiIiIi1GJzYkRiotRjA2JEYtRjJGNyEiIg==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JInVHNiI2JEkieEdGK0kieUdGK0YuRi4sJComSShlcHNpbG9uR0YrIiIjLUYkNiQtRiQ2JEYpRi1GLSIiIiEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=u(x,y)-0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLUkidUdGJDYkSSJ4R0YkSSJ5R0Yk">LUkidUc2IjYkSSJ4R0YkSSJ5R0Yk</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=u(x,y)-0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLUkidUdGJDYkSSJ4R0YkSSJ5R0Yk">LUkidUc2IjYkSSJ4R0YkSSJ5R0Yk</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc3:=diff(u(x,y),y)-u(x,y);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMzRzYiLCYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUdGJDYkSSJ4R0YkSSJ5R0YkRi4iIiJGKiEiIg==">LCYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUc2IjYkSSJ4R0YpSSJ5R0YpRiwiIiJGJyEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc4:=u(x,y)-1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmM0RzYiLCYtSSJ1R0YkNiRJInhHRiRJInlHRiQiIiJGKyEiIg==">LCYtSSJ1RzYiNiRJInhHRiVJInlHRiUiIiIhIiJGKQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">epsilon:=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkoZXBzaWxvbkc2IiIiIg==">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxf:=1/2/h*(-u[m+2](zeta)-3*u[m](zeta)+4*u[m+1](zeta));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZHlkeGZHNiIsJCooIyIiIiIiI0YoSSJoR0YkISIiLCgtJkkidUdGJDYjLCZJIm1HRiRGKEYpRig2I0klemV0YUdGJEYrKiYiIiRGKC0mRi82I0YyRjNGKEYrKiYiIiVGKC0mRi82IywmRjJGKEYoRihGM0YoRihGKEYo">LCQqJkkiaEc2IiEiIiwoLSZJInVHRiU2IywmSSJtR0YlIiIiIiIjRi42I0klemV0YUdGJUYmLSZGKjYjRi1GMCEiJC0mRio2IywmRi1GLkYuRi5GMCIiJUYuI0YuRi8=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxb:=1/2/h*(u[m-2](zeta)+3*u[m](zeta)-4*u[m-1](zeta));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZHlkeGJHNiIsJCooIyIiIiIiI0YoSSJoR0YkISIiLCgtJkkidUdGJDYjLCZJIm1HRiRGKEYpRis2I0klemV0YUdGJEYoKiYiIiRGKC0mRi82I0YyRjNGKEYoKiYiIiVGKC0mRi82IywmRjJGKEYoRitGM0YoRitGKEYo">LCQqJkkiaEc2IiEiIiwoLSZJInVHRiU2IywmSSJtR0YlIiIiISIjRi42I0klemV0YUdGJUYuLSZGKjYjRi1GMCIiJC0mRio2IywmRi1GLkYmRi5GMCEiJUYuI0YuIiIj</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydx:=1/2/h*(u[m+1](zeta)-u[m-1](zeta));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklZHlkeEc2IiwkKigjIiIiIiIjRihJImhHRiQhIiIsJi0mSSJ1R0YkNiMsJkkibUdGJEYoRihGKDYjSSV6ZXRhR0YkRigtJkYvNiMsJkYyRihGKEYrRjNGK0YoRig=">LCQqJkkiaEc2IiEiIiwmLSZJInVHRiU2IywmSSJtR0YlIiIiRi5GLjYjSSV6ZXRhR0YlRi4tJkYqNiMsJkYtRi5GJkYuRi9GJkYuI0YuIiIj</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">d2ydx2:=1/h^2*(u[m-1](zeta)-2*u[m](zeta)+u[m+1](zeta));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknZDJ5ZHgyRzYiKiYpSSJoR0YkIiIjISIiLCgtJkkidUdGJDYjLCZJIm1HRiQiIiJGMUYpNiNJJXpldGFHRiRGMSomRihGMS0mRi02I0YwRjJGMUYpLSZGLTYjLCZGMEYxRjFGMUYyRjFGMQ==">KiZJImhHNiIhIiMsKC0mSSJ1R0YkNiMsJkkibUdGJCIiIiEiIkYtNiNJJXpldGFHRiRGLS0mRik2I0YsRi9GJS0mRik2IywmRixGLUYtRi1GL0YtRi0=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=subs(diff(u(x,y),x)=subs(m=0,dydxf),u(x,y)=u[0](zeta),bc1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLSZJInVHRiQ2IyIiITYjSSV6ZXRhR0Yk">LSZJInVHNiI2IyIiITYjSSV6ZXRhR0Yl</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=subs(diff(u(x,y),x)=subs(m=N+1,dydxb),u(x,y)=u[N+1](zeta),bc2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLSZJInVHRiQ2IywmSSJOR0YkIiIiRitGKzYjSSV6ZXRhR0Yk">LSZJInVHNiI2IywmSSJOR0YlIiIiRilGKTYjSSV6ZXRhR0Yl</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L16" 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="L17" 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="PiZJI2VxRzYiNiMiIiEtJkkidUdGJUYmNiNJJXpldGFHRiU=">LSZJInVHNiI2IyIiITYjSSV6ZXRhR0Yl</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L18" 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="PiZJI2VxRzYiNiMiIzYtJkkidUdGJUYmNiNJJXpldGFHRiU=">LSZJInVHNiI2IyIjNjYjSSV6ZXRhR0Yl</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[N+1+i]:=diff(u[N+1+i](zeta),zeta)= subs(diff(u(x,y),x$2) = subs(m=i,d2ydx2),diff(u(x,y),x) = subs(m=i,dydx),u(x,y)=u[i](zeta),x=i*h,rhs(h^2/epsilon^2*ge));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzcvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiFGMCEiIiomIiIjIiIiLSZGLzYjRjpGMEY6RjotJkYvNiNGOUYwRjc=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM3NiNJJXpldGFHRipGLiwoLSZGKTYjIiIhRi0hIiItJkYpNiMiIiJGLSIiIy0mRik2I0Y5Ri1GNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzgvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiJGMCEiIiomIiIjRjYtJkYvNiNGOUYwRjZGNi0mRi82IyIiJEYwRjc=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM4NiNJJXpldGFHRipGLiwoLSZGKTYjIiIiRi0hIiItJkYpNiMiIiNGLUY4LSZGKTYjIiIkRi1GNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzkvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiNGMCEiIiomRjYiIiItJkYvNiMiIiRGMEY5RjktJkYvNiMiIiVGMEY3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM5NiNJJXpldGFHRipGLiwoLSZGKTYjIiIjRi0hIiItJkYpNiMiIiRGLUYzLSZGKTYjIiIlRi1GNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzovLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiRGMCEiIiomIiIjIiIiLSZGLzYjIiIlRjBGOkY6LSZGLzYjIiImRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM6NiNJJXpldGFHRipGLiwoLSZGKTYjIiIkRi0hIiItJkYpNiMiIiVGLSIiIy0mRik2IyIiJkYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzsvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiVGMCEiIiomIiIjIiIiLSZGLzYjIiImRjBGOkY6LSZGLzYjIiInRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM7NiNJJXpldGFHRipGLiwoLSZGKTYjIiIlRi0hIiItJkYpNiMiIiZGLSIiIy0mRik2IyIiJ0YtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzwvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiZGMCEiIiomIiIjIiIiLSZGLzYjIiInRjBGOkY6LSZGLzYjIiIoRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM8NiNJJXpldGFHRipGLiwoLSZGKTYjIiImRi0hIiItJkYpNiMiIidGLSIiIy0mRik2IyIiKEYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIz0vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIidGMCEiIiomIiIjIiIiLSZGLzYjIiIoRjBGOkY6LSZGLzYjIiIpRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM9NiNJJXpldGFHRipGLiwoLSZGKTYjIiInRi0hIiItJkYpNiMiIihGLSIiIy0mRik2IyIiKUYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIz4vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIihGMCEiIiomIiIjIiIiLSZGLzYjIiIpRjBGOkY6LSZGLzYjIiIqRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM+NiNJJXpldGFHRipGLiwoLSZGKTYjIiIoRi0hIiItJkYpNiMiIilGLSIiIy0mRik2IyIiKkYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIz8vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIilGMCEiIiomIiIjIiIiLSZGLzYjIiIqRjBGOkY6LSZGLzYjIiM1RjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM/NiNJJXpldGFHRipGLiwoLSZGKTYjIiIpRi0hIiItJkYpNiMiIipGLSIiIy0mRik2IyIjNUYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI0AvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIipGMCEiIiomIiIjIiIiLSZGLzYjIiM1RjBGOkY6LSZGLzYjIiM2RjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNANiNJJXpldGFHRipGLiwoLSZGKTYjIiIqRi0hIiItJkYpNiMiIzVGLSIiIy0mRik2IyIjNkYtRjQ=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[0](zeta):=(solve(eq[0],u[0](zeta)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiE2I0klemV0YUdGJkYo">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[N+1](zeta):=solve(eq[N+1],u[N+1](zeta));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIzY2I0klemV0YUdGJiIiIQ==">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i]:=diff(u[i](zeta),zeta)= u[N+1+i](zeta);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM3RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIiNiNJJXpldGFHRipGLi0mRik2IyIjN0Yt</Equation></Text-field>
</Output>
<Output>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i]:=eval(eq[i]);od;for i from 1 to N do eq[N+1+i]:=eval(eq[N+1+i]);od;</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM3RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIiNiNJJXpldGFHRipGLi0mRik2IyIjN0Yt</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM4RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIjNiNJJXpldGFHRipGLi0mRik2IyIjOEYt</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiQvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM5RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIkNiNJJXpldGFHRipGLi0mRik2IyIjOUYt</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiUvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM6RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIlNiNJJXpldGFHRipGLi0mRik2IyIjOkYt</Equation></Text-field>
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<Output>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzovLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiRGMCEiIiomIiIjIiIiLSZGLzYjIiIlRjBGOkY6LSZGLzYjIiImRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM6NiNJJXpldGFHRipGLiwoLSZGKTYjIiIkRi0hIiItJkYpNiMiIiVGLSIiIy0mRik2IyIiJkYtRjQ=</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzwvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiZGMCEiIiomIiIjIiIiLSZGLzYjIiInRjBGOkY6LSZGLzYjIiIoRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM8NiNJJXpldGFHRipGLiwoLSZGKTYjIiImRi0hIiItJkYpNiMiIidGLSIiIy0mRik2IyIiKEYtRjQ=</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIz4vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIihGMCEiIiomIiIjIiIiLSZGLzYjIiIpRjBGOkY6LSZGLzYjIiIqRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM+NiNJJXpldGFHRipGLiwoLSZGKTYjIiIoRi0hIiItJkYpNiMiIilGLSIiIy0mRik2IyIiKkYtRjQ=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eqns:=[seq(rhs(eq[j]),j=1..N),seq(rhs(eq[N+1+j]),j=1..N)];</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NzYtJkkidUc2IjYjIiM3NiNJJXpldGFHRiYtJkYlNiMiIzhGKS0mRiU2IyIjOUYpLSZGJTYjIiM6RiktJkYlNiMiIztGKS0mRiU2IyIjPEYpLSZGJTYjIiM9RiktJkYlNiMiIz5GKS0mRiU2IyIjP0YpLSZGJTYjIiNARiksJi0mRiU2IyIiIkYpIiIjLSZGJTYjRlRGKSEiIiwoRlBGWEZVRlQtJkYlNiMiIiRGKUZYLChGVUZYRlpGVC0mRiU2IyIiJUYpRlgsKEZaRlhGaW5GVC0mRiU2IyIiJkYpRlgsKEZpbkZYRl5vRlQtJkYlNiMiIidGKUZYLChGXm9GWEZjb0ZULSZGJTYjIiIoRilGWCwoRmNvRlhGaG9GVC0mRiU2IyIiKUYpRlgsKEZob0ZYRl1wRlQtJkYlNiMiIipGKUZYLChGXXBGWEZicEZULSZGJTYjIiM1RilGWCwmRmJwRlhGZ3BGVA==</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=[seq(u[i](zeta),i=1..N),seq(u[N+1+i](zeta),i=1..N)];</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiWUc2Ijc2LSZJInVHRiQ2IyIiIjYjSSV6ZXRhR0YkLSZGKDYjIiIjRistJkYoNiMiIiRGKy0mRig2IyIiJUYrLSZGKDYjIiImRistJkYoNiMiIidGKy0mRig2IyIiKEYrLSZGKDYjIiIpRistJkYoNiMiIipGKy0mRig2IyIjNUYrLSZGKDYjIiM3RistJkYoNiMiIzhGKy0mRig2IyIjOUYrLSZGKDYjIiM6RistJkYoNiMiIztGKy0mRig2IyIjPEYrLSZGKDYjIiM9RistJkYoNiMiIz5GKy0mRig2IyIjP0YrLSZGKDYjIiNARis=">NzYtJkkidUc2IjYjIiIiNiNJJXpldGFHRiYtJkYlNiMiIiNGKS0mRiU2IyIiJEYpLSZGJTYjIiIlRiktJkYlNiMiIiZGKS0mRiU2IyIiJ0YpLSZGJTYjIiIoRiktJkYlNiMiIilGKS0mRiU2IyIiKkYpLSZGJTYjIiM1RiktJkYlNiMiIzdGKS0mRiU2IyIjOEYpLSZGJTYjIiM5RiktJkYlNiMiIzpGKS0mRiU2IyIjO0YpLSZGJTYjIiM8RiktJkYlNiMiIz1GKS0mRiU2IyIjPkYpLSZGJTYjIiM/RiktJkYlNiMiI0BGKQ==</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A:=genmatrix(eqns,Y,'b1');</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiQUc2Ii1JJ21hdHJpeEdGJDYjNzY3NiIiIUYqRipGKkYqRipGKkYqRipGKiIiIkYqRipGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYrRipGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRitGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGK0YqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYrRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRitGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGK0YqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYrRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRitGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKzc2IiIjISIiRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGN0Y2RjdGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkY3RjZGN0YqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRjdGNkY3RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGN0Y2RjdGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkY3RjZGN0YqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRjdGNkY3RipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRipGN0Y2RjdGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRipGKkY3RjZGN0YqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRipGKkYqRjdGNkYqRipGKkYqRipGKkYqRipGKkYq">[encoded data, 4324 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">if N&gt;2 then A:=map(evalf,A):end;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiQUc2Ii1JJ21hdHJpeEdGJDYjNzY3NiQiIiFGK0YqRipGKkYqRipGKkYqRipGKiQiIiJGK0YqRipGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYsRipGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRixGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGLEYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYsRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRixGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGLEYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYsRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRixGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGLDc2JCIiI0YrJCEiIkYrRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGOkY4RjpGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkY6RjhGOkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRjpGOEY6RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGOkY4RjpGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkY6RjhGOkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRjpGOEY6RipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRipGOkY4RjpGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRipGKkY6RjhGOkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRipGKkYqRjpGOEYqRipGKkYqRipGKkYqRipGKkYq">[encoded data, 4340 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L28" 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="LUknbWF0cml4RzYiNiM3Njc2JCIiIUYpRihGKEYoRihGKEYoRihGKEYoJCIiIkYpRihGKEYoRihGKEYoRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRipGKEYoRihGKEYoRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKkYoRihGKEYoRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYqRihGKEYoRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRipGKEYoRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKkYoRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYqRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRipGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKkYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYqNzYkIiIjRikkISIiRilGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkY4RjZGOEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRjhGNkY4RihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGOEY2RjhGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGKEY4RjZGOEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGKEYoRjhGNkY4RihGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGKEYoRihGOEY2RjhGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGKEYoRihGKEY4RjZGOEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGKEYoRihGKEYoRjhGNkY4RihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGKEYoRihGKEYoRihGOEY2RihGKEYoRihGKEYoRihGKEYoRig=">[encoded data, 4340 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">b:=matrix(2*N,1):for i from 1 to 2*N do b[i,1]:=-b1[i];od:evalm(b);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUknbWF0cml4RzYiNiM3NjcjIiIhRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRic=">PTYiNiQ7IiIiIiM/O0YmRiZFXFtsNTYkIiM9RiYiIiE2JCIiI0YmRiw2JCIjOEYmRiw2JCIjPkYmRiw2JCIjPEYmRiw2JCIiJkYmRiw2JCIiKEYmRiw2JCIjOkYmRiw2JCIiKkYmRiw2JCIiJEYmRiw2JCIiJ0YmRiw2JCIjNUYmRiw2JEYmRiZGLDYkIiIpRiZGLDYkIiM3RiZGLDYkIiIlRiZGLDYkRidGJkYsNiQiIzZGJkYsNiQiIzlGJkYsNiQiIztGJkYs</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L30" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">h:=eval(1/(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="L31" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">J:=jordan(A,S);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">[encoded data, 4628 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L32" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat:=evalm(S&amp;*exponential(J,zeta)&amp;*inverse(S)):</Text-field>
</Input>
</Group>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat1:=evalm(subs(zeta=zeta-zeta1,evalm(mat))):</Text-field>
</Input>
</Group>
<Group labelreference="L34" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">b2:=evalm(subs(zeta=zeta1,evalm(b))):</Text-field>
</Input>
</Group>
<Group labelreference="L35" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat2:=evalm(mat1&amp;*b2):</Text-field>
</Input>
</Group>
<Group labelreference="L36" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat2:=map(expand,mat2):</Text-field>
</Input>
</Group>
<Group labelreference="L37" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat3:=map(int,mat2,zeta1=0..zeta):</Text-field>
</Input>
</Group>
<Group labelreference="L38" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y0:=matrix(2*N,1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjWTBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIz87RipGKjci">PTYiNiQ7IiIiIiM/O0YmRiZFXFtsIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L39" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Y0[i,1]:=p[i];od:</Text-field>
</Input>
</Group>
<Group labelreference="L40" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Y0[N+i,1]:=c[i]:od:</Text-field>
</Input>
</Group>
<Group labelreference="L41" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalm(Y0);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUknbWF0cml4RzYiNiM3NjcjJkkicEdGJDYjIiIiNyMmRik2IyIiIzcjJkYpNiMiIiQ3IyZGKTYjIiIlNyMmRik2IyIiJjcjJkYpNiMiIic3IyZGKTYjIiIoNyMmRik2IyIiKTcjJkYpNiMiIio3IyZGKTYjIiM1NyMmSSJjR0YkRio3IyZGUkYuNyMmRlJGMjcjJkZSRjY3IyZGUkY6NyMmRlJGPjcjJkZSRkI3IyZGUkZGNyMmRlJGSjcjJkZSRk4=">PTYiNiQ7IiIiIiM/O0YmRiZFXFtsNTYkIiM9RiYmSSJjR0YjNiMiIik2JCIiI0YmJkkicEdGIzYjRjE2JCIjOEYmJkYtNiMiIiQ2JCIjPkYmJkYtNiMiIio2JCIjPEYmJkYtNiMiIig2JCIiJkYmJkYzNiNGRTYkRkNGJiZGM0ZCNiQiIzpGJiZGLUZHNiRGPkYmJkYzRj02JEY5RiYmRjNGODYkIiInRiYmRjM2I0ZSNiQiIzVGJiZGMzYjRlY2JEYmRiYmRjM2I0YmNiRGL0YmJkYzRi42JCIjN0YmJkYtRjQ2JCIiJUYmJkYzNiNGXG82JEYnRiYmRi1GWDYkIiM2RiYmRi1GZW42JCIjOUYmJkYtRl5vNiQiIztGJiZGLUZU</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L42" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=evalm(mat&amp;*Y0+mat3):</Text-field>
</Input>
</Group>
<Group labelreference="L43" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol0:=map(eval,evalm(subs(zeta=0,evalm(Y)))):</Text-field>
</Input>
</Group>
<Group labelreference="L44" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol1:=map(eval,evalm(subs(zeta=epsilon/h,evalm(Y)))):</Text-field>
</Input>
</Group>
<Group labelreference="L45" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L46" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc3:=diff(u(x,y),y)-u(x,y);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMzRzYiLCYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUdGJDYkSSJ4R0YkSSJ5R0YkRi4iIiJGKiEiIg==">LCYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUc2IjYkSSJ4R0YpSSJ5R0YpRiwiIiJGJyEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L47" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[i]:=subs(diff(u(x,y),y)=epsilon/h*c[i],u(x,y)=p[i],x=i*h,bc3);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiIsJiomIiM2RicmSSJjR0YlRiZGJ0YnJkkicEdGJUYmISIi">LCYmSSJjRzYiNiMiIiIiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiMsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIiMiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiQsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIiQiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiUsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIiUiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiYsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIiYiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIicsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIiciIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIigsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIigiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiksJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIikiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiosJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIioiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIzUsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIzUiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L48" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[N+i]:=evalf(subs(diff(u(x,y),y)=epsilon/h*sol1[N+i,1],u(x,y)=sol1[i,1],bc4));od:</Text-field>
</Input>
</Group>
<Group labelreference="L49" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">csol:=solve({seq(Eq[i],i=1..2*N)},{seq(c[i],i=1..N),seq(p[i],i=1..N)});</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="L50" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">assign(csol);</Text-field>
</Input>
</Group>
<Group labelreference="L51" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">YY:=map(eval,Y):</Text-field>
</Input>
</Group>
<Group labelreference="L52" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do u[i](zeta):=eval((YY[i,1]));od:</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 u[i](zeta):=eval(u[i](zeta));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 u[i](y):=eval(subs(zeta=epsilon*y/h,u[i](zeta)));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiE2I0kieUdGJkYo">IiIh</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="Pi0mSSJ1RzYiNiMiIiU2I0kieUdGJixKKiYkIigoKTQtJiEjOiIiIi1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYjLCQqJiQiLShwejQlKj0iISM1RjBGKkYwISIiRjBGPComJCIpX1dnNSEjO0YwLUYyNiMsJComJCItIlEheXZdPUY7RjBGKkYwRjBGMEYwKiYkIiQnUUZARjAtRjI2IywkKiYkIi02Xy4+LD9GO0YwRipGMEYwRjBGMComJCInNlpGRkBGMC1GMjYjLCQqJiQiLScqcFgpMzYjRjtGMEYqRjBGMEYwRjwqJiQiI0hGL0YwLUYyNiMsJComJCItb2lyZ3hARjtGMEYqRjBGMEYwRjwqJiQiK1BbT20nKkYvRjAtRjI2IywkKiYkIi1oKEdJIlIiKiEjNkYwRipGMEY8RjBGPComJCIqOi1aQCJGL0YwLUYyNiMsJComJCItWV1pNik+J0Zlb0YwRipGMEY8RjBGPComJCItLioqZkAqZSMhIzhGMC1GMjYjLCQqJiQiLS1VayM0OCRGZW9GMEYqRjBGPEYwRjAqJiQiLTl2Y04+XUZicEYwLUYyNiMsJEZmcEYwRjBGMComJCIqRzY3SSJGL0YwLUYyNiMsJEZccEYwRjBGPComJCIsKCllPFo/IkYvRjAtRjI2IywkRmJvRjBGMEY8KiYkIicmei0iRi9GMC1GMjYjLCRGOEYwRjBGPComJCIpeGIhRydGL0YwLUYyNiMsJComJCItO0BPcFM5RjtGMEYqRjBGMEYwRjwqJiQiJWE9Ri9GMC1GMjYjLCQqJiQiLSNmL1xFbSJGO0YwRipGMEYwRjBGPComJCIpWVNYTkYvRjAtRjI2IywkRmdyRjxGMEY8KiYkIipBbShvQ0ZARjAtRjI2IywkRmluRjxGMEYwKiYkIipsJHAtNUYvRjAtRjI2IywkRlZGPEYwRjAqJiQiKjBuJ3kjKUZARjAtRjI2IywkRk1GPEYwRjwqJiQiKHFHI1tGL0YwLUYyNiMsJEZERjxGMEYwKiYkIipPRzFbKUZARjAtRjI2IywkRmBzRjxGMEY8">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiY2I0kieUdGJixKKiYkIik0bVhbISM7IiIiLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YmNiMsJComJCItKHB6NCUqPSIhIzVGMEYqRjAhIiJGMEY8KiYkIigpKj56JkYvRjAtRjI2IywkKiYkIi0iUSF5dl09RjtGMEYqRjBGMEYwRjwqJiQiJTA2Ri9GMC1GMjYjLCQqJiQiLTZfLj4sP0Y7RjBGKkYwRjBGMEY8KiYkIidrQDVGL0YwLUYyNiMsJComJCItJypwWCkzNiNGO0YwRipGMEYwRjBGMComJCIjPSEjOkYwLUYyNiMsJComJCItb2lyZ3hARjtGMEYqRjBGMEYwRjAqJiQiLGplJCk0NyRGZW5GMC1GMjYjLCQqJiQiLWgoR0kiUiIqISM2RjBGKkYwRjxGMEY8KiYkIiohcFJaWEYvRjAtRjI2IywkKiYkIi1ZXWk2KT4nRmVvRjBGKkYwRjxGMEY8KiYkIi0mKkhBWjxHISM4RjAtRjI2IywkKiYkIi0tVWsjNDgkRmVvRjBGKkYwRjxGMEYwKiYkIi1qVk4lPVkmRmJwRjAtRjI2IywkRmZwRjBGMEYwKiYkIilKc11bRmVuRjAtRjI2IywkRlxwRjBGMEY8KiYkIiwoUmxuKilRRmVuRjAtRjI2IywkRmJvRjBGMEY8KiYkIiZOaCZGZW5GMC1GMjYjLCRGOEYwRjBGPComJCIpO1d6KClGZW5GMC1GMjYjLCQqJiQiLTtAT3BTOUY7RjBGKkYwRjBGMEYwKiYkIiV2REZlbkYwLUYyNiMsJComJCItI2YvXEVtIkY7RjBGKkYwRjBGMEY8KiYkIilKKlJ1KkZlbkYwLUYyNiMsJEZnckY8RjBGMComJCIqI0dSIj4qRi9GMC1GMjYjLCRGaW5GPEYwRjwqJiQiKXNELycpRmVuRjAtRjI2IywkRlVGPEYwRjAqJiQiKVhfWlFGZW5GMC1GMjYjLCRGTEY8RjBGPComJCIpb0EiNCRGZW5GMC1GMjYjLCRGQ0Y8RjBGMComJCIqbSF5MiUqRi9GMC1GMjYjLCRGYHNGPEYwRjw=">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIic2I0kieUdGJixKKiYkIikyPVtPISM7IiIiLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YmNiMsJComJCItKHB6NCUqPSIhIzVGMEYqRjAhIiJGMEY8KiYkIignMyN6JkYvRjAtRjI2IywkKiYkIi0iUSF5dl09RjtGMEYqRjBGMEYwRjwqJiQiJCMqKUYvRjAtRjI2IywkKiYkIi02Xy4+LD9GO0YwRipGMEYwRjBGMComJCInLkM1Ri9GMC1GMjYjLCQqJiQiLScqcFgpMzYjRjtGMEYqRjBGMEYwRjAqJiQiIzwhIzpGMC1GMjYjLCQqJiQiLW9pcmd4QEY7RjBGKkYwRjBGMEY8KiYkIixcMyUpNDckRmVuRjAtRjI2IywkKiYkIi1oKEdJIlIiKiEjNkYwRipGMEY8RjBGPComJCIqKVsnKSlbJUYvRjAtRjI2IywkKiYkIi1ZXWk2KT4nRmVvRjBGKkYwRjxGMEYwKiYkIi0oKUg9WjxHISM4RjAtRjI2IywkKiYkIi0tVWsjNDgkRmVvRjBGKkYwRjxGMEYwKiYkIi13dkclPVkmRmJwRjAtRjI2IywkRmZwRjBGMEYwKiYkIil1c11bRmVuRjAtRjI2IywkRlxwRjBGMEYwKiYkIiwseXcnKilRRmVuRjAtRjI2IywkRmJvRjBGMEY8KiYkIiZWaCZGZW5GMC1GMjYjLCRGOEYwRjBGMComJCIpUld6KClGZW5GMC1GMjYjLCQqJiQiLTtAT3BTOUY7RjBGKkYwRjBGMEYwKiYkIiUoZSNGZW5GMC1GMjYjLCQqJiQiLSNmL1xFbSJGO0YwRipGMEYwRjBGMComJCIpLytXKCpGZW5GMC1GMjYjLCRGZ3JGPEYwRjAqJiQiKi1tJilvI0YvRjAtRjI2IywkRmluRjxGMEYwKiYkIil3Ry8nKUZlbkYwLUYyNiMsJEZVRjxGMEYwKiYkIip2cl06IkZlbkYwLUYyNiMsJEZMRjxGMEY8KiYkIilgRyI0JEZlbkYwLUYyNiMsJEZDRjxGMEYwKiYkIipiOSRbeEYvRjAtRjI2IywkRmBzRjxGMEY8">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIig2I0kieUdGJixKKiYkIigocEdHISM6IiIiLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YmNiMsJComJCItKHB6NCUqPSIhIzVGMEYqRjAhIiJGMEY8KiYkIik/VGc1ISM7RjAtRjI2IywkKiYkIi0iUSF5dl09RjtGMEYqRjBGMEYwRjAqJiQiJG8jRkBGMC1GMjYjLCQqJiQiLTZfLj4sP0Y7RjBGKkYwRjBGMEY8KiYkIidYWEZGQEYwLUYyNiMsJComJCItJypwWCkzNiNGO0YwRipGMEYwRjBGPComJCIjOUYvRjAtRjI2IywkKiYkIi1vaXJneEBGO0YwRipGMEYwRjBGMComJCIrS2ZObScqRi9GMC1GMjYjLCQqJiQiLWgoR0kiUiIqISM2RjBGKkYwRjxGMEY8KiYkIiomM0c0N0YvRjAtRjI2IywkKiYkIi1ZXWk2KT4nRmVvRjBGKkYwRjxGMEYwKiYkIi12JD48IyplIyEjOEYwLUYyNiMsJComJCItLVVrIzQ4JEZlb0YwRipGMEY8RjBGMComJCItQEZyTj5dRmJwRjAtRjI2IywkRmZwRjBGMEYwKiYkIio6NjdJIkYvRjAtRjI2IywkRlxwRjBGMEYwKiYkIixjQDtaPyJGL0YwLUYyNiMsJEZib0YwRjBGPComJCInJnktIkYvRjAtRjI2IywkRjhGMEYwRjAqJiQiKUBiIUcnRi9GMC1GMjYjLCQqJiQiLTtAT3BTOUY7RjBGKkYwRjBGMEY8KiYkIiVIPUYvRjAtRjI2IywkKiYkIi0jZi9cRW0iRjtGMEYqRjBGMEYwRjAqJiQiKSJwYGEkRi9GMC1GMjYjLCRGZ3JGPEYwRjwqJiQiKngyKVslKUZARjAtRjI2IywkRmluRjxGMEY8KiYkIipKLkYrIkYvRjAtRjI2IywkRlZGPEYwRjAqJiQiKklCSSplRkBGMC1GMjYjLCRGTUY8RjBGPComJCIoY1YjW0YvRjAtRjI2IywkRkRGPEYwRjAqJiQiKlknZSRIKEZARjAtRjI2IywkRmBzRjxGMEY8">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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="Pi0mSSJ1RzYiNiMiIzY2I0kieUdGJiIiIQ==">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L80" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do unassign('c[i]'):unassign('p[i]'):od:</Text-field>
</Input>
</Group>
<Group labelreference="L77" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do
  pl[i]:=line([0.3,0.98-abs(i-5.25)*0.14],[0.6,evalf(subs(y=0.6,u[i](y)))],thickness=1,linestyle=dot);
  pt[i]:=textplot([0.3,0.98-abs(i-5.25)*0.14,typeset(u[i],&quot;(y)&quot;)],align=left):
end do:</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(u[i](y),y=0..1,thickness=3);od:</Text-field>
</Input>
</Group>
<Group labelreference="L78" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">pp:=plot([seq(u[i](y),i=0..N+1)],y=0..1,thickness=3):</Text-field>
</Input>
</Group>
<Group labelreference="L56" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display([pp,seq(pl[i],i=0..N+1),seq(pt[i],i=0..N+1)],title=&quot;Figure Exp. 6.4.&quot;,axes=boxed,labels=[y,&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, 51740 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L57" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">M:=5;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTUc2IiIiJg==">IiIm</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L58" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">T1:=[seq(evalf(i/M),i=0..M)];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjVDFHNiI3KCQiIiFGJyQiLSsrKysrPyEjNyQiLSsrKysrU0YqJCItKysrKytnRiokIi0rKysrKyEpRiokIiIiRic=">NygkIiIhRiQkIi0rKysrKz8hIzckIi0rKysrK1NGJyQiLSsrKysrZ0YnJCItKysrKyshKUYnJCIiIkYk</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L59" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for j from 1 to M do P[j]:=plot([seq([h*i,evalf(subs(y=T1[j],evalf(u[i](y))))],i=0..N+1)],style=line,thickness=3,axes=boxed,view=[0..1,0..1.1]):od:</Text-field>
</Input>
</Group>
<Group labelreference="L60" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">P[M+1]:=plot([seq([h*i,evalf(subs(x=i*h,1))],i=0..N+1)],style=line,thickness=3,title=&quot;Figure Exp. 6.5.&quot;,axes=boxed):</Text-field>
</Input>
</Group>
<Group labelreference="L79" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for j from 1 to M+1 do
  pt[j]:=textplot([0.5,evalf(subs(y=T1[j],u[5](y))),typeset(y,sprintf(&quot;=%4.2f&quot;,T1[j]))],align=above);
od:</Text-field>
</Input>
</Group>
<Group labelreference="L61" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({seq(P[i],i=1..M+1),seq(pt[i],i=1..M+1)},labels=[x,u]);</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, 8504 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L62" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Ny:=30;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjTnlHNiIiI0k=">IiNJ</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L63" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">PP:=matrix(N+2,Ny);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjUFBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIzc7RioiI0k3Ig==">PTYiNiQ7IiIiIiM3O0YmIiNJRVxbbCE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L64" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to Ny do PP[1,i]:=0;PP[N+2,i]:=0;od:</Text-field>
</Input>
</Group>
<Group labelreference="L65" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N+2 do PP[i,Ny]:=1;od:</Text-field>
</Input>
</Group>
<Group labelreference="L66" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 2 to N+1 do for j from 1 to Ny-1 do PP[i,j]:=evalf(subs(y=(j-1)/(Ny-1),u[i-1](y)));od;od:</Text-field>
</Input>
</Group>
<Group labelreference="L67" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata := [seq([ seq([(i-1)/(N+1),(j-1)/(Ny-1),PP[i,j]], i=1..N+2)], j=1..Ny)]:</Text-field>
</Input>
</Group>
<Group labelreference="L68" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata(plotdata,axes=boxed,title=&quot;Figure Exp.6.6.&quot;, labels=[x,y,u],orientation=[-120,60] );</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="three-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">[encoded data, 18500 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L69" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L70" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>