0004.qti

<item ident="F2-8646" title="F2 | Separation of variables | ver. 8646">
  <itemmetadata>
    <qtimetadata>
      <qtimetadatafield>
        <fieldlabel>question_type</fieldlabel>
        <fieldentry>essay_question</fieldentry>
      </qtimetadatafield>
    </qtimetadata>
  </itemmetadata>
  <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?-2 \, {y}^{2} {y'} + \frac{12 \, t}{{y}} + \frac{4}{{y}} = 0 \hspace{2em} y( 3 )= 3" alt="-2 \, {y}^{2} {y'} + \frac{12 \, t}{{y}} + \frac{4}{{y}} = 0 \hspace{2em} y( 3 )= 3" title="-2 \, {y}^{2} {y'} + \frac{12 \, t}{{y}} + \frac{4}{{y}} = 0 \hspace{2em} y( 3 )= 3" data-latex="-2 \, {y}^{2} {y'} + \frac{12 \, t}{{y}} + \frac{4}{{y}} = 0 \hspace{2em} y( 3 )= 3"/>
          </p>
        </div>
      </mattextxml>
      <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?-2%20%5C,%20%7By%7D%5E%7B2%7D%20%7By'%7D%20+%20%5Cfrac%7B12%20%5C,%20t%7D%7B%7By%7D%7D%20+%20%5Cfrac%7B4%7D%7B%7By%7D%7D%20=%200%20%5Chspace%7B2em%7D%20y(%203%20)=%203" alt="-2 \, {y}^{2} {y'} + \frac{12 \, t}{{y}} + \frac{4}{{y}} = 0 \hspace{2em} y( 3 )= 3" title="-2 \, {y}^{2} {y'} + \frac{12 \, t}{{y}} + \frac{4}{{y}} = 0 \hspace{2em} y( 3 )= 3" data-latex="-2 \, {y}^{2} {y'} + \frac{12 \, t}{{y}} + \frac{4}{{y}} = 0 \hspace{2em} y( 3 )= 3"&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>
    </response_str>
  </presentation>
  <itemfeedback ident="general_fb">
    <flow_mat>
      <material>
        <mattextxml>
          <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(3 \, t^{2} + 2 \, t - 6\right)}^{\frac{1}{3}}" alt="{y} = {\left(3 \, t^{2} + 2 \, t - 6\right)}^{\frac{1}{3}}" title="{y} = {\left(3 \, t^{2} + 2 \, t - 6\right)}^{\frac{1}{3}}" data-latex="{y} = {\left(3 \, t^{2} + 2 \, t - 6\right)}^{\frac{1}{3}}"/>
            </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%7B%5Cleft(3%20%5C,%20t%5E%7B2%7D%20+%202%20%5C,%20t%20-%206%5Cright)%7D%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D" alt="{y} = {\left(3 \, t^{2} + 2 \, t - 6\right)}^{\frac{1}{3}}" title="{y} = {\left(3 \, t^{2} + 2 \, t - 6\right)}^{\frac{1}{3}}" data-latex="{y} = {\left(3 \, t^{2} + 2 \, t - 6\right)}^{\frac{1}{3}}"&gt;
  &lt;/p&gt;
&lt;/div&gt;

</mattext>
      </material>
    </flow_mat>
  </itemfeedback>
</item>