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<Text-field style="Text" bold="true" layout="Normal"><Font bold="true">This Maple file is called WriteDataOutExp and is used to calculate the analytical solution for an example problem and  to write the results to a text file (maple_output.txt).</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Text-field style="Text" bold="true" layout="Normal"><Font bold="true">Specify the values for x at which the analytical solution will be calculated and later exported.  Make sure
you have the whole range (i.e., 0 to 1) of x included.</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(xdata, matrix(11, 1, [seq(`*`(k, `*`(`/`(10.0))), k = 0 .. 10)]));" display="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">QyQ+SSZ4ZGF0YUc2Ii1JJ21hdHJpeEdGJTYlIiM2IiIiNyMtSSRzZXFHJSpwcm90ZWN0ZWRHNiQqJkkia0dGJUYqLUkiL0c2JEYuSShfc3lzbGliR0YlNiMkIiQrIiEiIkYqL0YxOyIiISIjNUYq</Equation></Text-field>
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<Text-field style="Text" bold="true" layout="Normal"><Font bold="true">Input the Governing Equation and Boundary Conditions:</Font></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(eq, diff(u(x), x, x) = u(x));" display="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">QyQ+SSNlcUc2Ii8tSSVkaWZmRyUqcHJvdGVjdGVkRzYlLUkidUdGJTYjSSJ4R0YlRi5GLkYrIiIi</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZXFHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2I0kieEdGJC1JIiRHRig2JEYtIiIjRio=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JInVHNiI2I0kieEdGK0YtRi1GKQ==</Equation></Text-field>
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<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(bcs, u(0) = .21, (D(u))(1) = 0);" display="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">QyQ+SSRiY3NHNiI2JC8tSSJ1R0YlNiMiIiEkIiNAISIjLy0tSSJER0YlNiNGKTYjIiIiRitGNQ==</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmNzRzYiNiQvLUkidUdGJDYjIiIhJCIjQCEiIy8tLUkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjRig2IyIiIkYq">NiQvLUkidUc2IjYjIiIhJCIjQCEiIy8tLUkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYjRiU2IyIiIkYo</Equation></Text-field>
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<Input>
<Text-field style="Text" bold="true" layout="Normal"><Font bold="true">Solve the differential equation and rearrange the results to the desired form:</Font></Text-field>
</Input>
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<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(u, rhs(dsolve({eq, bcs})));" display="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">QyQ+SSJ1RzYiLUkkcmhzRyUqcHJvdGVjdGVkRzYjLUknZHNvbHZlR0YlNiM8JEkjZXFHRiVJJGJjc0dGJSIiIg==</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkidUc2IiwmKiojIiNAIiQrIiIiIi1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjRipGKiwmLUYsNiMhIiJGKkYrRipGNC1GLDYjLCRJInhHRiRGNEYqRioqKkYnRipGMUY0RjJGKi1GLDYjRjhGKkYq">LCYqKC1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjIiIiRissJi1GJTYjISIiRitGJEYrRi8tRiU2IywkSSJ4R0YpRi9GKyMiI0AiJCsiKihGLEYvRi1GKy1GJTYjRjNGK0Y0</Equation></Text-field>
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<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(u, convert(u, trig));" display="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">QyQ+SSJ1RzYiLUkoY29udmVydEclKnByb3RlY3RlZEc2JEYkSSV0cmlnR0YlIiIi</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkidUc2IiwmKiojIiNAIiQrIyIiIiwmLUklY29zaEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjRipGKi1JJXNpbmhHRi5GMUYqRipGLCEiIiwmLUYtNiNJInhHRiRGKi1GM0Y3RjRGKkYqKipGJ0YqRixGNCwmRixGKkYyRjRGKiwmRjZGKkY5RipGKkYq">LCYqKCwmLUklY29zaEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjIiIiRiwtSSVzaW5oR0YnRitGLEYsRiUhIiIsJi1GJjYjSSJ4R0YqRiwtRi5GMkYvRiwjIiNAIiQrIyooRiVGLywmRiVGLEYtRi9GLCwmRjFGLEY0RixGLEY1</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="simplify(%);" display="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">QyQtSSlzaW1wbGlmeUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSIlR0YoIiIi</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJiwmKiYtSSVjb3NoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMiIiJGLS1GJzYjSSJ4R0YrRi1GLSomLUklc2luaEdGKEYsRi0tRjNGL0YtISIiRi1GJkY1IyIjQCIkKyI=</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(u, combine(%));" display="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">QyQ+SSJ1RzYiLUkoY29tYmluZUdGJTYjSSIlR0YlIiIi</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkidUc2IiwkKigjIiNAIiQrIiIiIi1JJWNvc2hHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2IywmRiohIiJJInhHRiRGKkYqLUYsNiNGKkYyRio=">LCQqJi1JJWNvc2hHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywmISIiIiIiSSJ4R0YpRi1GLS1GJTYjRi1GLCMiI0AiJCsi</Equation></Text-field>
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<Text-field style="Text" bold="true" layout="Normal"><Font bold="true">Make sure the solution satisfies the boundary conditions:</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="evalf(subs(x = 0, u));" display="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">QyQtSSZldmFsZkclKnByb3RlY3RlZEc2Iy1JJXN1YnNHRiU2JC9JInhHNiIiIiFJInVHRiwiIiI=</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIrKysrK0AhIzU=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="evalf(subs(x = 1, (D(u))(1)));" display="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">QyQtSSZldmFsZkclKnByb3RlY3RlZEc2Iy1JJXN1YnNHRiU2JC9JInhHNiIiIiItLUkiREc2JEYlSShfc3lzbGliR0YsNiNJInVHRiw2I0YtRi0=</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIiIUYj</Equation></Text-field>
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<Input>
<Text-field style="Text" bold="true" layout="Normal"><Font bold="true">Plot the results:</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="plot(u, x = 0 .. 1);" display="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">QyQtSSVwbG90RzYiNiRJInVHRiUvSSJ4R0YlOyIiISIiIkYs</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JUYrLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRitGMUY0">NiI=</Equation></Text-field>
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<Input>
<Text-field style="Text" bold="true" layout="Normal"><Font bold="true">Save the analytical solution at the x values specified at the beginning of this worksheet as uana[i].</Font></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="for i to rowdim(xdata) do `:=`(uana[i], evalf(subs(x = xdata[i, 1], u))) end do;" display="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">QyQ/KEkiaUc2IiIiIkYmLUkncm93ZGltR0YlNiNJJnhkYXRhR0YlSSV0cnVlRyUqcHJvdGVjdGVkRz4mSSV1YW5hR0YlNiNGJC1JJmV2YWxmR0YsNiMtSSVzdWJzR0YsNiQvSSJ4R0YlJkYqNiRGJEYmSSJ1R0YlRiY=</Equation></Text-field>
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<Input>
<Text-field style="Text" bold="true" layout="Normal"><Font bold="true">Export the Analytical Solution from Maple into theText File:</Font></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(uanalytical, evalm(matrix(rowdim(xdata), 2, [seq([xdata[kd, 1], uana[kd]], kd = 1 .. rowdim(xdata))])));" display="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">QyQ+SSx1YW5hbHl0aWNhbEc2Ii1JJmV2YWxtR0YlNiMtSSdtYXRyaXhHRiU2JS1JJ3Jvd2RpbUdGJTYjSSZ4ZGF0YUdGJSIiIzcjLUkkc2VxRyUqcHJvdGVjdGVkRzYkNyQmRi82JEkja2RHRiUiIiImSSV1YW5hR0YlNiNGOS9GOTtGOkYsRjo=</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkksdWFuYWx5dGljYWxHNiItSSdtYXRyaXhHRiQ2IzctNyQkIiIhRiskIisrKysrQCEjNTckJCIrKysrKzVGLiQiKylHMi4mPkYuNyQkIisrKysrP0YuJCIrM1I4Pz1GLjckJCIrKysrK0lGLiQiK1RxPDM8Ri43JCQiKysrKytTRi4kIisiPTtMaCJGLjckJCIrKysrK11GLiQiK00+Z006Ri43JCQiKysrKytnRi4kIispXFk3WiJGLjckJCIrKysrK3FGLiQiKyN6OkVVIkYuNyQkIisrKysrISlGLiQiKy5KQSlRIkYuNyQkIisrKysrISpGLiQiKzxVc244Ri43JCRGMSEiKiQiK3ZSIjRPIkYu">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</Equation></Text-field>
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<Input>
<Text-field style="Text" bold="true" layout="Normal"><Font bold="true">Note:  To export to a text file, the formats compatible with Maple are Arrays, Matrices, etc.  For additional help please type ? writedata;</Font></Text-field>
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<Group labelreference="L36" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(fd, fopen(&quot;maple_output.txt&quot;, WRITE, TEXT)):" display="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">Qyg+SSNmZEc2Ii1JJmZvcGVuR0YlNiVRMW1hcGxlX291dHB1dC50eHRGJUkmV1JJVEVHRiVJJVRFWFRHRiUhIiItSSp3cml0ZWRhdGFHRiU2JEYkSSx1YW5hbHl0aWNhbEdGJSIiIi1JJmNsb3NlRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiNGJEYs</Equation></Text-field>
</Input>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
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<Group labelreference="L37" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Now, the output from the analytical solution is stored into a file called &quot;maple_output.txt&quot; in the folder where you saved this original Maple file.</Text-field>
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