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<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="L83" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</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:=30;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTkc2IiIjSQ==">IiNJ</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="PiZJI2VxRzYiNiMiI0otJkkidUdGJUYmNiNJJXpldGFHRiU=">LSZJInVHNiI2IyIjSjYjSSV6ZXRhR0Yl</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="PiZJI2VxRzYiNiMiI0svLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiFGMCEiIiomIiIjIiIiLSZGLzYjRjpGMEY6RjotJkYvNiNGOUYwRjc=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNLNiNJJXpldGFHRipGLiwoLSZGKTYjIiIhRi0hIiItJkYpNiMiIiJGLSIiIy0mRik2I0Y5Ri1GNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI0wvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiJGMCEiIiomIiIjRjYtJkYvNiNGOUYwRjZGNi0mRi82IyIiJEYwRjc=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNMNiNJJXpldGFHRipGLiwoLSZGKTYjIiIiRi0hIiItJkYpNiMiIiNGLUY4LSZGKTYjIiIkRi1GNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI00vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiNGMCEiIiomRjYiIiItJkYvNiMiIiRGMEY5RjktJkYvNiMiIiVGMEY3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNNNiNJJXpldGFHRipGLiwoLSZGKTYjIiIjRi0hIiItJkYpNiMiIiRGLUYzLSZGKTYjIiIlRi1GNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI04vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiRGMCEiIiomIiIjIiIiLSZGLzYjIiIlRjBGOkY6LSZGLzYjIiImRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNONiNJJXpldGFHRipGLiwoLSZGKTYjIiIkRi0hIiItJkYpNiMiIiVGLSIiIy0mRik2IyIiJkYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI08vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiVGMCEiIiomIiIjIiIiLSZGLzYjIiImRjBGOkY6LSZGLzYjIiInRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNPNiNJJXpldGFHRipGLiwoLSZGKTYjIiIlRi0hIiItJkYpNiMiIiZGLSIiIy0mRik2IyIiJ0YtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI1AvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiZGMCEiIiomIiIjIiIiLSZGLzYjIiInRjBGOkY6LSZGLzYjIiIoRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNQNiNJJXpldGFHRipGLiwoLSZGKTYjIiImRi0hIiItJkYpNiMiIidGLSIiIy0mRik2IyIiKEYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI1EvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIidGMCEiIiomIiIjIiIiLSZGLzYjIiIoRjBGOkY6LSZGLzYjIiIpRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNRNiNJJXpldGFHRipGLiwoLSZGKTYjIiInRi0hIiItJkYpNiMiIihGLSIiIy0mRik2IyIiKUYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI1IvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIihGMCEiIiomIiIjIiIiLSZGLzYjIiIpRjBGOkY6LSZGLzYjIiIqRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNSNiNJJXpldGFHRipGLiwoLSZGKTYjIiIoRi0hIiItJkYpNiMiIilGLSIiIy0mRik2IyIiKkYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI1MvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIilGMCEiIiomIiIjIiIiLSZGLzYjIiIqRjBGOkY6LSZGLzYjIiM1RjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNTNiNJJXpldGFHRipGLiwoLSZGKTYjIiIpRi0hIiItJkYpNiMiIipGLSIiIy0mRik2IyIjNUYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI1QvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIipGMCEiIiomIiIjIiIiLSZGLzYjIiM1RjBGOkY6LSZGLzYjIiM2RjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNUNiNJJXpldGFHRipGLiwoLSZGKTYjIiIqRi0hIiItJkYpNiMiIzVGLSIiIy0mRik2IyIjNkYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI1UvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIzVGMCEiIiomIiIjIiIiLSZGLzYjIiM2RjBGOkY6LSZGLzYjIiM3RjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNVNiNJJXpldGFHRipGLiwoLSZGKTYjIiM1Ri0hIiItJkYpNiMiIzZGLSIiIy0mRik2IyIjN0YtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI1YvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIzZGMCEiIiomIiIjIiIiLSZGLzYjIiM3RjBGOkY6LSZGLzYjIiM4RjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNWNiNJJXpldGFHRipGLiwoLSZGKTYjIiM2Ri0hIiItJkYpNiMiIzdGLSIiIy0mRik2IyIjOEYtRjQ=</Equation></Text-field>
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<Output>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[0](zeta):=(solve(eq[0],u[0](zeta)));</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[N+1](zeta):=solve(eq[N+1],u[N+1](zeta));</Text-field>
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<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>
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</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="L25" drawlabel="true">
<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>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L26" drawlabel="true">
<Input>
<Text-field 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="[encoded data, 9880 characters]">[encoded data, 43344 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="[encoded data, 9896 characters]">[encoded data, 43596 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="[encoded data, 9884 characters]">[encoded data, 43596 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="LUknbWF0cml4RzYiNiM3aG43IyIiIUYnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRic=">PTYiNiQ7IiIiIiNnO0YmRiZFXFtsZ242JCIjOkYmIiIhNiQiIztGJkYsNiQiI01GJkYsNiQiIzdGJkYsNiQiIihGJkYsNiQiIzVGJkYsNiQiI2ZGJkYsNiQiI2FGJkYsNiQiIilGJkYsNiQiI0FGJkYsNiQiI1FGJkYsNiQiI0pGJkYsNiQiI0VGJkYsNiQiI0ZGJkYsNiQiIipGJkYsNiQiI1hGJkYsNiQiI1VGJkYsNiQiI1NGJkYsNiQiI1xGJkYsNiQiI0dGJkYsNiQiI09GJkYsNiQiI2RGJkYsNiQiI0JGJkYsNiQiIz9GJkYsNiQiI2VGJkYsNiQiIiRGJkYsNiQiI0NGJkYsNiQiI0RGJkYsNiQiI1ZGJkYsNiQiIiNGJkYsNiQiIzxGJkYsNiQiIzlGJkYsNiQiIzhGJkYsNiQiIzZGJkYsNiQiIz1GJkYsNiQiI2BGJkYsNiQiI0xGJkYsNiQiIz5GJkYsNiQiIiVGJkYsNiQiI15GJkYsNiQiI1BGJkYsNiRGJkYmRiw2JCIjSUYmRiw2JCIjX0YmRiw2JCIjY0YmRiw2JCIjSEYmRiw2JCIjXUYmRiw2JCIiJkYmRiw2JCIjWkYmRiw2JCIjS0YmRiw2JCIjV0YmRiw2JCIjYkYmRiw2JCIjTkYmRiw2JCIjQEYmRiw2JCIiJ0YmRiw2JCIjUkYmRiw2JCIjW0YmRiw2JCIjWUYmRiw2JEYnRiZGLDYkIiNURiZGLA==</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="PkkiaEc2IiMiIiIiI0o=">IyIiIiIjSg==</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>
</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=">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</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">LCYqJiIjNiIiIiZJImNHNiI2I0YlRiVGJSZJInBHRihGKSEiIg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiMsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYqJiIjNiIiIiZJImNHNiI2IyIiI0YlRiUmSSJwR0YoRikhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiQsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYqJiIjNiIiIiZJImNHNiI2IyIiJEYlRiUmSSJwR0YoRikhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiUsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYqJiIjNiIiIiZJImNHNiI2IyIiJUYlRiUmSSJwR0YoRikhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiYsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYqJiIjNiIiIiZJImNHNiI2IyIiJkYlRiUmSSJwR0YoRikhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIicsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYqJiIjNiIiIiZJImNHNiI2IyIiJ0YlRiUmSSJwR0YoRikhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIigsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYqJiIjNiIiIiZJImNHNiI2IyIiKEYlRiUmSSJwR0YoRikhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiksJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYqJiIjNiIiIiZJImNHNiI2IyIiKUYlRiUmSSJwR0YoRikhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiosJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYqJiIjNiIiIiZJImNHNiI2IyIiKkYlRiUmSSJwR0YoRikhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIzUsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYqJiIjNiIiIiZJImNHNiI2IyIjNUYlRiUmSSJwR0YoRikhIiI=</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="PkklY3NvbEc2Ijw2LyZJImNHRiQ2IyIiIiQiLUlfNV9aQCEjOS8mSSJwR0YkNiMiIiokIi0hKj5LZ0hYISM4LyZGKDYjIiIlJCItdU4tZDlwRi0vJkYwRikkIi1gZEpGaUJGNS8mRjA2IyIiIyQiLW1eX2NIWEY1LyZGMDYjIiIoJCItVzFWMDF3RjUvJkYwNiMiIickIi0nUiU0Jj5GKUY1LyZGKEZIJCItL0NbZjlwRi0vJkYoNiMiIikkIi1KKnAlR11kRi0vJkYoRk4kIi1nLmEmKj52Ri0vJkYoNiMiIiYkIi0mSHZUKj52Ri0vJkYoNiMiIiQkIi0qR0FOLXYmRi0vJkYoRjEkIi0rNDYjeTYlRi0vJkYwNiMiIzUkIi1VJSkzSGlCRjUvJkYwRlgkIi1DcEpKRGpGNS8mRjBGXG8kIi1DR2YkPkYpRjUvJkYwRjgkIi1KZnMtMXdGNS8mRjBGYm8kIi09WChlX0snRjUvJkYoRlxwJCItbG5yYFpARi0vJkYoRkIkIi1VI2YneTxURi0=">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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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">LEoqJiQiLWdBPCkqPSEpISM5IiIiLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsJComJCItLVVrIzQ4JCEjNkYnSSJ5R0YtRichIiJGJ0YnKiYkIilfVFhqISM6RictRik2IywkKiYkIi1ZXWk2KT4nRjNGJ0Y0RidGNUYnRjUqJiQiK0RobEU8ISM8RictRik2IywkKiYkIi1vaXJneEAhIzVGJ0Y0RidGNUYnRjUqJiQiKkE3Ui8lISM7RictRik2IywkKiYkIi0nKnBYKTM2I0ZKRidGNEYnRjVGJ0YnKiYkIip0R0opPUZORictRik2IywkKiYkIi02Xy4+LD9GSkYnRjRGJ0Y1RidGNSomJCIpLE43SUY5RictRik2IywkKiYkIi0iUSF5dl09RkpGJ0Y0RidGNUYnRicqJiQiKFdWcSJGOUYnLUYpNiMsJComJCItI2YvXEVtIkZKRidGNEYnRjVGJ0YnKiYkIio2SmhKIkY5RictRik2IywkKiYkIi07QE9wUzlGSkYnRjRGJ0Y1RidGJyomJCIoYSZbZkY5RictRik2IywkKiYkIi0ocHo0JSo9IkZKRidGNEYnRjVGJ0YnKiYkIis7QCM+ZiNGJkYnLUYpNiMsJComJCItaChHSSJSIipGM0YnRjRGJ0Y1RidGJyomJCItSU9IYGE6ISM4RictRik2IywkRjBGJ0YnRicqJiQiKWxJTGBGOUYnLUYpNiMsJEY9RidGJ0Y1KiYkIiw8UW00QiRGOUYnLUYpNiMsJEZicUYnRidGJyomJCImPGgmRjlGJy1GKTYjLCRGaXBGJ0YnRicqJiQiKkI0J1w2RjlGJy1GKTYjLCRGYHBGJ0YnRicqJiQiJF4iRjlGJy1GKTYjLCRGZ29GJ0YnRjUqJiQiJlh1KkYmRictRik2IywkRl5vRidGJ0YnKiYkIiNLRjlGJy1GKTYjLCRGZW5GJ0YnRicqJiQiJyJIJz5GTkYnLUYpNiMsJEZSRidGJ0YnKiYkIiUlcCJGQ0YnLUYpNiMsJEZHRidGJ0Yn</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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">LEoqJiQiLV9KIyk0XkAhIzgiIiItSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywkKiYkIi0tVWsjNDgkISM2RidJInlHRi1GJyEiIkYnRicqJiQiKlNCQzsiISM6RictRik2IywkKiYkIi1ZXWk2KT4nRjNGJ0Y0RidGNUYnRjUqJiQiKlFVbWklISM7RictRik2IywkKiYkIi1vaXJneEAhIzVGJ0Y0RidGNUYnRjUqJiQiKksqKXlpKkZDRictRik2IywkKiYkIi0nKnBYKTM2I0ZKRidGNEYnRjVGJ0YnKiYkIipBLCJvY0ZDRictRik2IywkKiYkIi02Xy4+LD9GSkYnRjRGJ0Y1RidGNSomJCIpcjxDJypGQ0YnLUYpNiMsJComJCItIlEheXZdPUZKRidGNEYnRjVGJ0YnKiYkIildVmsqKUY5RictRik2IywkKiYkIi0jZi9cRW0iRkpGJ0Y0RidGNUYnRjUqJiQiKXVnUyoqRjlGJy1GKTYjLCQqJiQiLTtAT3BTOUZKRidGNEYnRjVGJ0Y1KiYkIilFcD9iRkNGJy1GKTYjLCQqJiQiLShwejQlKj0iRkpGJ0Y0RidGNUYnRjUqJiQiLGJ1eFQmPUY5RictRik2IywkKiYkIi1oKEdJIlIiKkYzRidGNEYnRjVGJ0YnKiYkIi0hKnk2L3FURiZGJy1GKTYjLCRGMEYnRidGJyomJCIpSlFrKCpGOUYnLUYpNiMsJEY9RidGJ0Y1KiYkIixBQlA4SiNGOUYnLUYpNiMsJEZhcUYnRidGJyomJCInKW90IkZDRictRik2IywkRmhwRidGJ0Y1KiYkIiolcFpjNUY5RictRik2IywkRl9wRidGJ0Y1KiYkIiQzIkY5RictRik2IywkRmZvRidGJ0YnKiYkIidBPUlGOUYnLUYpNiMsJEZdb0YnRidGNSomJCIjTUY5RictRik2IywkRlpGJ0YnRicqJiQiJzQlZiRGQ0YnLUYpNiMsJEZRRidGJ0YnKiYkIiNvRkNGJy1GKTYjLCRGR0YnRidGJw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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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="L82" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The constants are unassigned.</Text-field>
</Input>
</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, 52376 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, 9124 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>