uni/mathmod/bonus2/e1.mw

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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;</Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ode_v_x := diff(v_x(t), t) = 1/m1*(c*s(t)+d*v_s(t)-fr);</Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ode_v_s := diff(v_s(t), t) = (1/m1+1/m2)*(fr-c*s(t)-d*v_s(t));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEob2RlX3Zfc0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZBc3NpZ247RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiM2KC1JJm1mcmFjR0YkNigtRjY2LVEwJkRpZmZlcmVudGlhbEQ7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORlgtRiM2JUZULUYsNiVRInRGJ0YvRjJGOS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGXm8vJSliZXZlbGxlZEdGPS1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC40ZW1GJy8lJmRlcHRoR0Zoby8lKmxpbmVicmVha0dRJWF1dG9GJy1GLDYlUSR2X3NGJ0YvRjItRjY2LVEwJkFwcGx5RnVuY3Rpb247RidGOUY7Rj5GQEZCRkRGRkZIRldGWS1JKG1mZW5jZWRHRiQ2JC1GIzYmRmZuLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9RjlGOUY5LUY2Ni1RKSZlcXVhbHM7RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS1GIzYmLUZocDYkLUYjNiYtRlI2KC1JI21uR0YkNiRGW29GOS1GLDYlUSNtMUYnRi9GMkZpbkZcb0Zfb0Zhby1GNjYtUScmcGx1cztGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GZnItRlI2KEZcci1GLDYlUSNtMkYnRi9GMkZpbkZcb0Zfb0Zhb0Y5RjktRjY2LVExJkludmlzaWJsZVRpbWVzO0YnRjlGO0Y+RkBGQkZERkZGSEZXRlktRmhwNiQtRiM2KC1GLDYlUSNmckYnRi9GMi1GNjYtUSgmbWludXM7RidGOUY7Rj5GQEZCRkRGRkZIRmVyRmdyLUYjNiYtRiw2JVEiY0YnRi9GMkZdcy1GIzYmLUYsNiVRInNGJ0YvRjJGZHBGZ3BGOUY5RmdzLUYjNiYtRiw2JVEiZEYnRi9GMkZdcy1GIzYmRmFwRmRwRmdwRjlGOUY5RjlGOUY5">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SShvZGVfdl9zR0YoLy1JJWRpZmZHRiY2JC1JJHZfc0dGKDYjSSJ0R0YoRjUqJiwmKiRJI20xR0YoISIiIiIiKiRJI20yR0YoRjpGO0Y7LChJI2ZyR0YoRjsqJkkiY0dGKEY7LUkic0dGKEY0RjtGOiomSSJkR0YoRjtGMkY7RjpGOzcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L5" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ode_omega := diff(omega(t), t) = -r/I2*fr;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEqb2RlX29tZWdhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEpJkFzc2lnbjtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GIzYoLUkmbWZyYWNHRiQ2KC1GNjYtUTAmRGlmZmVyZW50aWFsRDtGJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GWC1GIzYlRlQtRiw2JVEidEYnRi9GMkY5LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zeby8lKWJldmVsbGVkR0Y9LUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSYwLjRlbUYnLyUmZGVwdGhHRmhvLyUqbGluZWJyZWFrR1ElYXV0b0YnLUYsNiVRKCZvbWVnYTtGJy9GMEY9RjktRjY2LVEwJkFwcGx5RnVuY3Rpb247RidGOUY7Rj5GQEZCRkRGRkZIRldGWS1JKG1mZW5jZWRHRiQ2JC1GIzYmRmZuLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9RjlGOUY5LUY2Ni1RKSZlcXVhbHM7RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS1GIzYlLUY2Ni1RKiZ1bWludXMwO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZbci1GUjYoLUYjNiYtRiw2JVEickYnRi9GMi1GNjYtUTEmSW52aXNpYmxlVGltZXM7RidGOUY7Rj5GQEZCRkRGRkZIRldGWS1GLDYlUSNmckYnRi9GMkY5LUYsNiVRI0kyRidGL0YyRmluRlxvRl9vRmFvRjlGOQ==">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSpvZGVfb21lZ2FHRigvLUklZGlmZkdGJjYkLUkmb21lZ2FHRig2I0kidEdGKEY1LCQqKEkickdGKCIiIkkjSTJHRighIiJJI2ZyR0YoRjlGOzcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L6" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">set_constraints := { phi(0) = phi0, omega(0) = 0, v_x(t) = diff(x(t), t), v_s(t) = diff(s(t), t), omega(t) = diff(phi(t), t), v_s(t) = omega(t)*r, fr = mu_r*m2*g };</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+STBzZXRfY29uc3RyYWludHNHRig8KS9JI2ZyR0YoKihJJW11X3JHRigiIiJJI20yR0YoRjNJImdHRihGMy8tSSZvbWVnYUdGKDYjIiIhRjovLUY4NiNJInRHRigtSSVkaWZmR0YmNiQtSSRwaGlHRihGPUY+Ly1GQ0Y5SSVwaGkwR0YoLy1JJHZfc0dGKEY9KiZGPEYzSSJyR0YoRjMvRkgtRkA2JC1JInNHRihGPUY+Ly1JJHZfeEdGKEY9LUZANiQtSSJ4R0YoRj1GPjcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L7" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ode_eval_v_x := eval['recurse'](ode_v_x, set_constraints);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SS1vZGVfZXZhbF92X3hHRigvLUklZGlmZkdGJjYkLUkieEdGKDYjSSJ0R0YoLUkiJEdGJjYkRjUiIiMqJkkjbTFHRighIiIsKComSSJjR0YoIiIiLUkic0dGKEY0RkBGQCooSSJkR0YoRkAtRjA2JC1JJHBoaUdGKEY0RjVGQEkickdGKEZARkAqKEklbXVfckdGKEZASSNtMkdGKEZASSJnR0YoRkBGPEZANyMvLUYwNiQtRjA2JEYyRjVGNUY6</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L8" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ode_eval_v_s := eval['recurse'](ode_v_s, set_constraints);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SS1vZGVfZXZhbF92X3NHRigvKiYtSSVkaWZmR0YmNiQtSSRwaGlHRig2I0kidEdGKC1JIiRHRiY2JEY2IiIjIiIiSSJyR0YoRjsqJiwmKiRJI20xR0YoISIiRjsqJEkjbTJHRihGQUY7RjssKCooSSVtdV9yR0YoRjtGQ0Y7SSJnR0YoRjtGOyomSSJjR0YoRjstSSJzR0YoRjVGO0ZBKihJImRHRihGOy1GMTYkRjNGNkY7RjxGO0ZBRjs3Iy8qJi1GMTYkRk5GNkY7RjxGO0Y9</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L9" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ode_eval_omega := eval['recurse'](ode_omega, set_constraints);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SS9vZGVfZXZhbF9vbWVnYUdGKC8tSSVkaWZmR0YmNiQtSSRwaGlHRig2I0kidEdGKC1JIiRHRiY2JEY1IiIjLCQqLEkickdGKCIiIkkjSTJHRighIiJJJW11X3JHRihGPUkjbTJHRihGPUkiZ0dGKEY9Rj83Iy8tRjA2JC1GMDYkRjJGNUY1Rjo=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L10" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol1 := solve({ode_eval_v_s, solve(ode_eval_omega, v_s(t))}, {mu_r});</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVzb2wxR0YoPCMvSSVtdV9yR0YoKiosLCoqLUklZGlmZkdGJjYkLUkkcGhpR0YoNiNJInRHRihGOiIiIkkiZEdGKEY7SSNtMUdGKEY7SSJyR0YoRjtGOyoqRjRGO0Y8RjtJI20yR0YoRjtGPkY7RjsqKi1GNTYkRjctSSIkR0YmNiRGOiIiI0Y7Rj5GO0Y9RjtGQEY7RjsqKC1JInNHRihGOUY7SSJjR0YoRjtGPUY7RjsqKEZJRjtGS0Y7RkBGO0Y7RjtGQCEiIiwmRkBGO0Y9RjtGTUkiZ0dGKEZNNyM8Iy9GMCoqLCxGM0Y7Rj9GOyoqLUY1NiRGNEY6RjtGPkY7Rj1GO0ZARjtGO0ZIRjtGTEY7RjtGQEZNRk5GTUZPRk0=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L14" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq_mu_r := simplify(eval(sol1[1], ode_eval_omega));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SShlcV9tdV9yR0YoL0klbXVfckdGKCosLCgqLEkiZEdGKCIiIkkickdGKEY0SSNJMkdGKEY0LCZJI20yR0YoRjRJI20xR0YoRjRGNC1JJWRpZmZHRiY2JC1JJHBoaUdGKDYjSSJ0R0YoRkBGNEY0KipJImNHRihGNEY2RjRGN0Y0LUkic0dGKEY/RjRGNCosRjUiIiNGL0Y0RjhGRkkiZ0dGKEY0RjlGNCEiIkY0RjZGSEY4RkhGN0ZIRkdGSDcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L19" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol2 := mu_r = simplify(eval(solve(eq_mu_r, mu_r), s(t) = phi(t)*r));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVzb2wyR0YoL0klbXVfckdGKCowSSJyR0YoIiIiLCYqJi1JJHBoaUdGKDYjSSJ0R0YoRjJJImNHRihGMkYyKiYtSSVkaWZmR0YmNiRGNUY4RjJJImRHRihGMkYyRjJJI0kyR0YoRjIsJkkjbTJHRihGMkkjbTFHRihGMkYyLCYqJiwmKiZGQkYyRjEiIiNGMkY/RjJGMkZBRjJGMiomRj9GMkZCRjJGMiEiIkkiZ0dGKEZJRkFGSTcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L22" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ode_new_v_x := simplify(eval(ode_eval_v_x, {sol2, s(t) = phi(t)*r}));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSxvZGVfbmV3X3ZfeEdGKC8tSSVkaWZmR0YmNiQtSSJ4R0YoNiNJInRHRigtSSIkR0YmNiRGNSIiIyoqSSJyR0YoIiIkSSNtMkdGKCIiIiwmKiYtSSRwaGlHRihGNEY+SSJjR0YoRj5GPiomLUYwNiRGQUY1Rj5JImRHRihGPkY+Rj4sJiomSSNJMkdGKEY+LCZGPUY+SSNtMUdGKEY+Rj5GPiooRjtGOUY9Rj5GTEY+Rj4hIiI3Iy8tRjA2JC1GMDYkRjJGNUY1Rjo=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L23" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># handschriftliche ueberpruefung</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L33" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ode_new_v_x_handwritten := r/m1*(c*phi(t)+d*diff(phi(t), t)-(I2/r^2*(1/m1+1/m2))/(1+(I2/r^2*(1/m1+1/m2)))*(c*phi(t)+d*diff(phi(t), t)))</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SThvZGVfbmV3X3ZfeF9oYW5kd3JpdHRlbkdGKCooSSJyR0YoIiIiSSNtMUdGKCEiIiwoKiYtSSRwaGlHRig2I0kidEdGKEYwSSJjR0YoRjBGMComLUklZGlmZkdGJjYkRjVGOEYwSSJkR0YoRjBGMCosSSNJMkdGKEYwRi8hIiMsJiokRjFGMkYwKiRJI20yR0YoRjJGMEYwLCZGMEYwKihGQEYwRi9GQUZCRjBGMEYyLCZGNEYwRjpGMEYwRjJGMDcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L28" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">simplify(ode_new_v_x - ode_new_v_x_handwritten);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMvKiYsJiomLCYqJiwmKiZJI20xR0YoIiIiSSJyR0YoIiIjRjVJI0kyR0YoRjVGNUkjbTJHRihGNUY1KiZGOEY1RjRGNUY1RjUtSSVkaWZmR0YmNiQtSSJ4R0YoNiNJInRHRigtSSIkR0YmNiRGQUY3RjVGNSooRjYiIiRGOUY1LCYqJi1JJHBoaUdGKEZARjVJImNHRihGNUY1KiYtRjw2JEZJRkFGNUkiZEdGKEY1RjVGNSEiIkY1RjBGUCIiITcjLyomLCYqJkYwRjUtRjw2JC1GPDYkRj5GQUZBRjVGNUZFRlBGNUYwRlBGUQ==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L24" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ode_new_omega := simplify(eval(ode_eval_omega, sol2));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEub2RlX25ld19vbWVnYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZBc3NpZ247RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiM2KC1JJm1mcmFjR0YkNigtSSVtc3VwR0YkNiUtRjY2LVEwJkRpZmZlcmVudGlhbEQ7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORmVuLUkjbW5HRiQ2JFEiMkYnRjkvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUYjNiVGVy1GVTYlLUYsNiVRInRGJ0YvRjJGZ25GW29GOS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGam8vJSliZXZlbGxlZEdGPS1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC40ZW1GJy8lJmRlcHRoR0ZkcC8lKmxpbmVicmVha0dRJWF1dG9GJy1GLDYlUSYmcGhpO0YnL0YwRj1GOS1GNjYtUTAmQXBwbHlGdW5jdGlvbjtGJ0Y5RjtGPkZARkJGREZGRkhGWkZmbi1JKG1mZW5jZWRHRiQ2JC1GIzYmRmJvLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9RjlGOUY5LUY2Ni1RKSZlcXVhbHM7RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS1GIzYlLUY2Ni1RKiZ1bWludXMwO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZnci1GUjYoLUYjNigtRlU2JS1GLDYlUSJyRidGL0YyRmduRltvLUY2Ni1RMSZJbnZpc2libGVUaW1lcztGJ0Y5RjtGPkZARkJGREZGRkhGWkZmbi1GZXE2JC1GIzYmLUYjNiYtRiM2JkZdcUZhcUZkcUY5RmJzLUYsNiVRImNGJ0YvRjJGOS1GNjYtUScmcGx1cztGJ0Y5RjtGPkZARkJGREZGRkhGZnJGaHItRiM2Ji1GZXE2JC1GIzYoLUZSNihGVy1GIzYlRldGYm9GOUZlb0Zob0ZbcEZdcEZfcEZdcUZhcUZkcUY5RjlGYnMtRiw2JVEiZEYnRi9GMkY5RjlGOUZicy1GZXE2JC1GIzYmLUYsNiVRI20yRidGL0YyRmB0LUYsNiVRI20xRidGL0YyRjlGOUY5LUYjNiYtRiM2Ji1GLDYlUSNJMkYnRi9GMkZic0ZgdUY5RmB0LUYjNihGXXNGYnNGZHVGYnNGZ3VGOUY5RmVvRmhvRltwRl1wRjlGOQ==">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SS5vZGVfbmV3X29tZWdhR0YoLy1JJWRpZmZHRiY2JC1JJHBoaUdGKDYjSSJ0R0YoLUkiJEdGJjYkRjUiIiMsJCoqSSJyR0YoRjksJiomRjIiIiJJImNHRihGP0Y/KiYtRjA2JEYyRjVGP0kiZEdGKEY/Rj9GPywmSSNtMkdGKEY/SSNtMUdGKEY/Rj8sJiomSSNJMkdGKEY/RkVGP0Y/KihGPEY5RkZGP0ZHRj9GPyEiIkZMNyMvLUYwNiRGQkY1Rjo=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L31" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># handschriftliche loesung</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L32" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ode_new_omega_handwritten := -r^2*(I2/r^2*(1/m1+1/m2))/(I2*(1+(I2/r^2*(1/m1+1/m2))))*(c*phi(t)+d*diff(phi(t), t))</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+STpvZGVfbmV3X29tZWdhX2hhbmR3cml0dGVuR0YoLCQqKCwmKiRJI20xR0YoISIiIiIiKiRJI20yR0YoRjNGNEY0LCZGNEY0KihJI0kyR0YoRjRJInJHRighIiNGMEY0RjRGMywmKiYtSSRwaGlHRig2I0kidEdGKEY0SSJjR0YoRjRGNComLUklZGlmZkdGJjYkRj5GQUY0SSJkR0YoRjRGNEY0RjM3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L25" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"># handschriftliche ueberpruefung</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L26" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">simplify(ode_new_omega - ode_new_omega_handwritten);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMvLCYtSSVkaWZmR0YmNiQtSSRwaGlHRig2I0kidEdGKC1JIiRHRiY2JEY0IiIjIiIiKipJInJHRihGOCwmKiZGMUY5SSJjR0YoRjlGOSomLUYvNiRGMUY0RjlJImRHRihGOUY5RjksJkkjbTJHRihGOUkjbTFHRihGOUY5LCYqJkkjSTJHRihGOUZDRjlGOSooRjtGOEZERjlGRUY5RjkhIiJGOSIiITcjLywmLUYvNiRGQEY0RjlGOkY5Rks=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L29" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">new_constraints := { d = 0 };</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+STBuZXdfY29uc3RyYWludHNHRig8Iy9JImRHRigiIiE3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L34" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">ode_simple_omega := simplify(eval(ode_new_omega, new_constraints));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVExb2RlX3NpbXBsZV9vbWVnYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZBc3NpZ247RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiM2KC1JJm1mcmFjR0YkNigtSSVtc3VwR0YkNiUtRjY2LVEwJkRpZmZlcmVudGlhbEQ7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORmVuLUkjbW5HRiQ2JFEiMkYnRjkvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUYjNiVGVy1GVTYlLUYsNiVRInRGJ0YvRjJGZ25GW29GOS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGam8vJSliZXZlbGxlZEdGPS1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC40ZW1GJy8lJmRlcHRoR0ZkcC8lKmxpbmVicmVha0dRJWF1dG9GJy1GLDYlUSYmcGhpO0YnL0YwRj1GOS1GNjYtUTAmQXBwbHlGdW5jdGlvbjtGJ0Y5RjtGPkZARkJGREZGRkhGWkZmbi1JKG1mZW5jZWRHRiQ2JC1GIzYmRmJvLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9RjlGOUY5LUY2Ni1RKSZlcXVhbHM7RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS1GIzYlLUY2Ni1RKiZ1bWludXMwO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZnci1GUjYoLUYjNiotRlU2JS1GLDYlUSJyRidGL0YyRmduRltvLUY2Ni1RMSZJbnZpc2libGVUaW1lcztGJ0Y5RjtGPkZARkJGREZGRkhGWkZmbi1GIzYmRl1xRmFxRmRxRjlGYnMtRiw2JVEiY0YnRi9GMkZicy1GZXE2JC1GIzYmLUYsNiVRI20yRidGL0YyLUY2Ni1RJyZwbHVzO0YnRjlGO0Y+RkBGQkZERkZGSEZmckZoci1GLDYlUSNtMUYnRi9GMkY5RjlGOS1GIzYmLUYjNiYtRiw2JVEjSTJGJ0YvRjJGYnNGanNGOUZhdC1GIzYoRl1zRmJzRl50RmJzRmR0RjlGOUZlb0Zob0ZbcEZdcEY5Rjk=">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+STFvZGVfc2ltcGxlX29tZWdhR0YoLy1JJWRpZmZHRiY2JC1JJHBoaUdGKDYjSSJ0R0YoLUkiJEdGJjYkRjUiIiMsJCosSSJyR0YoRjlGMiIiIkkiY0dGKEY9LCZJI20yR0YoRj1JI20xR0YoRj1GPSwmKiZJI0kyR0YoRj1GP0Y9Rj0qKEY8RjlGQEY9RkFGPUY9ISIiRkY3Iy8tRjA2JC1GMDYkRjJGNUY1Rjo=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L35" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol3 := simplify(dsolve({ ode_simple_omega, D(phi)(0) = 0, phi(0) = phi0 }, phi(t)));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVzb2wzR0YoLy1JJHBoaUdGKDYjSSJ0R0YoKiZJJXBoaTBHRigiIiItSSRjb3NHRiU2IyosSSJyR0YoRjVJImNHRigjRjUiIiMsJkkjbTJHRihGNUkjbTFHRihGNUY8LCYqJkkjSTJHRihGNUY+RjVGNSooRjpGPUY/RjVGQEY1RjUjISIiRj1GMkY1RjU3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L36" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">omega_s := r*sqrt(c)*sqrt(m2 + m1)/sqrt(I2*(m2 + m1) + r^2*m2*m1);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SShvbWVnYV9zR0YoKipJInJHRigiIiJJImNHRigjRjAiIiMsJkkjbTJHRihGMEkjbTFHRihGMEYyLCYqJkkjSTJHRihGMEY0RjBGMCooRi9GM0Y1RjBGNkYwRjAjISIiRjM3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L39" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">T_s := simplify(2*Pi/omega_s);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRUX3NHRigsJCosSSNQaUdGJiIiIkkickdGKCEiIkkiY0dGKCNGMyIiIywmSSNtMkdGKEYxSSNtMUdGKEYxRjUsJiomSSNJMkdGKEYxRjdGMUYxKihGMkY2RjhGMUY5RjFGMSNGMUY2RjY3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L40" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>