<item ident="F2-1080" title="F2 | Separation of variables | ver. 1080"> <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?3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}" alt="3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}" title="3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}" data-latex="3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}"/> </p> </div> </mattextxml> <mattext texttype="text/html"><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%20%5C,%20%7By'%7D%20t%20=%20-9%20%5C,%20%7By%7D%20%5Chspace%7B2em%7D%20y(%202%20)=%20-%5Cfrac%7B1%7D%7B8%7D" alt="3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}" title="3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}" data-latex="3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}"> </p> </div> </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} = -\frac{1}{t^{3}}" alt="{y} = -\frac{1}{t^{3}}" title="{y} = -\frac{1}{t^{3}}" data-latex="{y} = -\frac{1}{t^{3}}"/> </p> </div> </mattextxml> <mattext texttype="text/html"><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?%7By%7D%20=%20-%5Cfrac%7B1%7D%7Bt%5E%7B3%7D%7D" alt="{y} = -\frac{1}{t^{3}}" title="{y} = -\frac{1}{t^{3}}" data-latex="{y} = -\frac{1}{t^{3}}"> </p> </div> </mattext> </material> </flow_mat> </itemfeedback> </item>