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<item ident="F2-8763" title="F2 | Separation of variables | ver. 8763">
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        <fieldentry>essay_question</fieldentry>
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  <presentation>
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        <div class="exercise-statement">
          <p>
            <strong>F2.</strong>
          </p>
          <p>Find the solution to the given IVP.</p>
          <p style="text-align:center;">
            <img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?-3 \, {y'} {y} = -\frac{12 \, t}{{y}^{2}} - \frac{3}{{y}^{2}} \hspace{2em} y( 2 )= 3" alt="-3 \, {y'} {y} = -\frac{12 \, t}{{y}^{2}} - \frac{3}{{y}^{2}} \hspace{2em} y( 2 )= 3" title="-3 \, {y'} {y} = -\frac{12 \, t}{{y}^{2}} - \frac{3}{{y}^{2}} \hspace{2em} y( 2 )= 3" data-latex="-3 \, {y'} {y} = -\frac{12 \, t}{{y}^{2}} - \frac{3}{{y}^{2}} \hspace{2em} y( 2 )= 3"/>
          </p>
        </div>
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      <mattext texttype="text/html">&lt;div class="exercise-statement"&gt;
  &lt;p&gt;
    &lt;strong&gt;F2.&lt;/strong&gt;
  &lt;/p&gt;
  &lt;p&gt;Find the solution to the given IVP.&lt;/p&gt;
  &lt;p style="text-align:center;"&gt;
    &lt;img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?-3%20%5C,%20%7By'%7D%20%7By%7D%20=%20-%5Cfrac%7B12%20%5C,%20t%7D%7B%7By%7D%5E%7B2%7D%7D%20-%20%5Cfrac%7B3%7D%7B%7By%7D%5E%7B2%7D%7D%20%5Chspace%7B2em%7D%20y(%202%20)=%203" alt="-3 \, {y'} {y} = -\frac{12 \, t}{{y}^{2}} - \frac{3}{{y}^{2}} \hspace{2em} y( 2 )= 3" title="-3 \, {y'} {y} = -\frac{12 \, t}{{y}^{2}} - \frac{3}{{y}^{2}} \hspace{2em} y( 2 )= 3" data-latex="-3 \, {y'} {y} = -\frac{12 \, t}{{y}^{2}} - \frac{3}{{y}^{2}} \hspace{2em} y( 2 )= 3"&gt;
  &lt;/p&gt;
&lt;/div&gt;

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    <response_str ident="response1" rcardinality="Single">
      <render_fib>
        <response_label ident="answer1" rshuffle="No"/>
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  <itemfeedback ident="general_fb">
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      <material>
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          <div class="exercise-answer">
            <h4>Partial Answer:</h4>
            <p style="text-align:center;">
              <img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?{y} = {\left(2 \, t^{2} + t + 17\right)}^{\frac{1}{3}}" alt="{y} = {\left(2 \, t^{2} + t + 17\right)}^{\frac{1}{3}}" title="{y} = {\left(2 \, t^{2} + t + 17\right)}^{\frac{1}{3}}" data-latex="{y} = {\left(2 \, t^{2} + t + 17\right)}^{\frac{1}{3}}"/>
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        <mattext texttype="text/html">&lt;div class="exercise-answer"&gt;
  &lt;h4&gt;Partial Answer:&lt;/h4&gt;
  &lt;p style="text-align:center;"&gt;
    &lt;img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?%7By%7D%20=%20%7B%5Cleft(2%20%5C,%20t%5E%7B2%7D%20+%20t%20+%2017%5Cright)%7D%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D" alt="{y} = {\left(2 \, t^{2} + t + 17\right)}^{\frac{1}{3}}" title="{y} = {\left(2 \, t^{2} + t + 17\right)}^{\frac{1}{3}}" data-latex="{y} = {\left(2 \, t^{2} + t + 17\right)}^{\frac{1}{3}}"&gt;
  &lt;/p&gt;
&lt;/div&gt;

</mattext>
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    </flow_mat>
  </itemfeedback>
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