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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, 4364 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, 4364 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/O0YmRiZFXFtsNTYkIiM6RiYiIiE2JCIiKkYmRiw2JCIjPkYmRiw2JCIiJUYmRiw2JCIiKEYmRiw2JEYmRiZGLDYkIiM3RiZGLDYkIiImRiZGLDYkIiM4RiZGLDYkIiIkRiZGLDYkIiIjRiZGLDYkIiM1RiZGLDYkIiM9RiZGLDYkIiInRiZGLDYkIiM5RiZGLDYkRidGJkYsNiQiIzxGJkYsNiQiIzZGJkYsNiQiIztGJkYsNiQiIilGJkYs</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, 4600 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/O0YmRiZFXFtsNTYkIiM6RiYmSSJjR0YjNiMiIiY2JCIiKkYmJkkicEdGIzYjRjE2JCIjPkYmJkYtRjQ2JCIiJUYmJkYzNiNGOTYkIiIoRiYmRjM2I0Y9NiRGJkYmJkYzNiNGJjYkIiM3RiYmRi02IyIiIzYkRi9GJiZGM0YuNiQiIzhGJiZGLTYjIiIkNiRGTkYmJkYzRk02JEZHRiYmRjNGRjYkIiM1RiYmRjM2I0ZUNiQiIz1GJiZGLTYjIiIpNiQiIidGJiZGMzYjRmduNiQiIzlGJiZGLUY7NiRGJ0YmJkYtRlY2JCIjPEYmJkYtRj82JCIjNkYmJkYtRkI2JCIjO0YmJkYtRmluNiRGZW5GJiZGM0Za</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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">LEotSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywkSSJ5R0YoJCEtLVVrIzQ4JCEjNiQiLV9KIyk0XkAhIzgtRiQ2IywkRiskIS1ZXWk2KT4nRi4kISpTQkM7IiEjOi1GJDYjLCRGKyQhLW9pcmd4QCEjNSQhKlFVbWklISM7LUYkNiMsJEYrJCEtJypwWCkzNiNGPyQiKksqKXlpKkZCLUYkNiMsJEYrJCEtNl8uPiw/Rj8kISpBLCJvY0ZCLUYkNiMsJEYrJCEtIlEheXZdPUY/JCIpcjxDJypGQi1GJDYjLCRGKyQhLSNmL1xFbSJGPyQhKV1WayopRjktRiQ2IywkRiskIS07QE9wUzlGPyQhKXVnUyoqRjktRiQ2IywkRiskIS0ocHo0JSo9IkY/JCEpRXA/YkZCLUYkNiMsJEYrJCEtaChHSSJSIipGLiQiLGJ1eFQmPUY5LUYkNiMsJEYrJCItLVVrIzQ4JEYuJCItISp5Ni9xVEYxLUYkNiMsJEYrJCItWV1pNik+J0YuJCEpSlFrKCpGOS1GJDYjLCRGKyQiLWgoR0kiUiIqRi4kIixBQlA4SiNGOS1GJDYjLCRGKyQiLShwejQlKj0iRj8kIScpb3QiRkItRiQ2IywkRiskIi07QE9wUzlGPyQhKiVwWmM1RjktRiQ2IywkRiskIi0jZi9cRW0iRj8kIiQzIkY5LUYkNiMsJEYrJCItIlEheXZdPUY/JCEnQT1JRjktRiQ2IywkRiskIi02Xy4+LD9GPyQiI01GOS1GJDYjLCRGKyQiLScqcFgpMzYjRj8kIic0JWYkRkItRiQ2IywkRiskIi1vaXJneEBGPyQiI29GQg==</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="Pi0mSSJ1RzYiNiMiIic2I0kieUdGJixKKiYkIi1WMD1NPEchIzgiIiItSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IywkKiYkIi0tVWsjNDgkISM2RjBGKkYwISIiRjBGMComJCIpLCVHRiQhIzpGMC1GMjYjLCQqJiQiLVldaTYpPidGO0YwRipGMEY8RjBGMComJCIpXTIoWyUhIztGMC1GMjYjLCQqJiQiLW9pcmd4QCEjNUYwRipGMEY8RjBGPComJCIqUno7JCoqRkpGMC1GMjYjLCQqJiQiLScqcFgpMzYjRlFGMEYqRjBGPEYwRjAqJiQiKjYiMzN0RkpGMC1GMjYjLCQqJiQiLTZfLj4sP0ZRRjBGKkYwRjxGMEY8KiYkIigleiM9KUZARjAtRjI2IywkKiYkIi0iUSF5dl09RlFGMEYqRjBGPEYwRjAqJiQiKlc1eDAiRkBGMC1GMjYjLCQqJiQiLSNmL1xFbSJGUUYwRipGMEY8RjBGPComJCIqMmYmbzZGQEYwLUYyNiMsJComJCItO0BPcFM5RlFGMEYqRjBGPEYwRjAqJiQiJig+SkZARjAtRjI2IywkKiYkIi0ocHo0JSo9IkZRRjBGKkYwRjxGMEYwKiYkIitkM28+SiEjOUYwLUYyNiMsJComJCItaChHSSJSIipGO0YwRipGMEY8RjBGPComJCItZEFCZmhhRi9GMC1GMjYjLCRGOEYwRjBGMComJCIqcEojekZGSkYwLUYyNiMsJEZERjBGMEYwKiYkIixId1QpKSlRRkBGMC1GMjYjLCRGaXFGMEYwRjwqJiQiJmZMJEZARjAtRjI2IywkRl9xRjBGMEYwKiYkIilVXngoKUZARjAtRjI2IywkRmZwRjBGMEYwKiYkIiUmPiJGSkYwLUYyNiMsJEZdcEYwRjBGMComJCImOnomRmVxRjAtRjI2IywkRmRvRjBGMEY8KiYkIiNHRkBGMC1GMjYjLCRGW29GMEYwRjAqJiQiJzdCNUZKRjAtRjI2IywkRlhGMEYwRjAqJiQiJCZcRkpGMC1GMjYjLCRGTkYwRjBGPA==">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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="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, 60536 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, 13240 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, 18520 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>