0010.qti

<item ident="F2-2974" title="F2 | Separation of variables | ver. 2974">
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  <presentation>
    <material>
      <mattextxml>
        <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?6 \, {y} \sin\left(t\right) = 3 \, {y'} \hspace{2em} y( 0 )= -e^{\left(-2\right)}" alt="6 \, {y} \sin\left(t\right) = 3 \, {y'} \hspace{2em} y( 0 )= -e^{\left(-2\right)}" title="6 \, {y} \sin\left(t\right) = 3 \, {y'} \hspace{2em} y( 0 )= -e^{\left(-2\right)}" data-latex="6 \, {y} \sin\left(t\right) = 3 \, {y'} \hspace{2em} y( 0 )= -e^{\left(-2\right)}"/>
          </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?6%20%5C,%20%7By%7D%20%5Csin%5Cleft(t%5Cright)%20=%203%20%5C,%20%7By'%7D%20%5Chspace%7B2em%7D%20y(%200%20)=%20-e%5E%7B%5Cleft(-2%5Cright)%7D" alt="6 \, {y} \sin\left(t\right) = 3 \, {y'} \hspace{2em} y( 0 )= -e^{\left(-2\right)}" title="6 \, {y} \sin\left(t\right) = 3 \, {y'} \hspace{2em} y( 0 )= -e^{\left(-2\right)}" data-latex="6 \, {y} \sin\left(t\right) = 3 \, {y'} \hspace{2em} y( 0 )= -e^{\left(-2\right)}"&gt;
  &lt;/p&gt;
&lt;/div&gt;

</mattext>
    </material>
    <response_str ident="response1" rcardinality="Single">
      <render_fib>
        <response_label ident="answer1" rshuffle="No"/>
      </render_fib>
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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} = -e^{\left(-2 \, \cos\left(t\right)\right)}" alt="{y} = -e^{\left(-2 \, \cos\left(t\right)\right)}" title="{y} = -e^{\left(-2 \, \cos\left(t\right)\right)}" data-latex="{y} = -e^{\left(-2 \, \cos\left(t\right)\right)}"/>
            </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-e%5E%7B%5Cleft(-2%20%5C,%20%5Ccos%5Cleft(t%5Cright)%5Cright)%7D" alt="{y} = -e^{\left(-2 \, \cos\left(t\right)\right)}" title="{y} = -e^{\left(-2 \, \cos\left(t\right)\right)}" data-latex="{y} = -e^{\left(-2 \, \cos\left(t\right)\right)}"&gt;
  &lt;/p&gt;
&lt;/div&gt;

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</item>