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<item ident="F2-6504" title="F2 | Separation of variables | ver. 6504">
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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?-\frac{18 \, t}{{y}} = -3 \, {y} {y'} + \frac{6}{{y}} \hspace{2em} y( 2 )= 2" alt="-\frac{18 \, t}{{y}} = -3 \, {y} {y'} + \frac{6}{{y}} \hspace{2em} y( 2 )= 2" title="-\frac{18 \, t}{{y}} = -3 \, {y} {y'} + \frac{6}{{y}} \hspace{2em} y( 2 )= 2" data-latex="-\frac{18 \, t}{{y}} = -3 \, {y} {y'} + \frac{6}{{y}} \hspace{2em} y( 2 )= 2"/>
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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?-%5Cfrac%7B18%20%5C,%20t%7D%7B%7By%7D%7D%20=%20-3%20%5C,%20%7By%7D%20%7By'%7D%20+%20%5Cfrac%7B6%7D%7B%7By%7D%7D%20%5Chspace%7B2em%7D%20y(%202%20)=%202" alt="-\frac{18 \, t}{{y}} = -3 \, {y} {y'} + \frac{6}{{y}} \hspace{2em} y( 2 )= 2" title="-\frac{18 \, t}{{y}} = -3 \, {y} {y'} + \frac{6}{{y}} \hspace{2em} y( 2 )= 2" data-latex="-\frac{18 \, t}{{y}} = -3 \, {y} {y'} + \frac{6}{{y}} \hspace{2em} y( 2 )= 2"&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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            <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} = \sqrt{3 \, t^{2} + 2 \, t - 12}" alt="{y} = \sqrt{3 \, t^{2} + 2 \, t - 12}" title="{y} = \sqrt{3 \, t^{2} + 2 \, t - 12}" data-latex="{y} = \sqrt{3 \, t^{2} + 2 \, t - 12}"/>
            </p>
          </div>
        </mattextxml>
        <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%5Csqrt%7B3%20%5C,%20t%5E%7B2%7D%20+%202%20%5C,%20t%20-%2012%7D" alt="{y} = \sqrt{3 \, t^{2} + 2 \, t - 12}" title="{y} = \sqrt{3 \, t^{2} + 2 \, t - 12}" data-latex="{y} = \sqrt{3 \, t^{2} + 2 \, t - 12}"&gt;
  &lt;/p&gt;
&lt;/div&gt;

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  </itemfeedback>
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