<item ident="F3-6294" title="F3 | Techniques for linear IVPs | ver. 6294"> <itemmetadata> <qtimetadata> <qtimetadatafield> <fieldlabel>question_type</fieldlabel> <fieldentry>essay_question</fieldentry> </qtimetadatafield> </qtimetadata> </itemmetadata> <presentation> <material> <mattextxml> <div class="exercise-statement"> <p> <strong>F3.</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?5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2" alt="5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2" title="5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2" data-latex="5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2"/> </p> </div> </mattextxml> <mattext texttype="text/html"><div class="exercise-statement"> <p> <strong>F3.</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?5%20%5C,%20%7By%7D%20=%2012%20%5C,%20t%5E%7B2%7D%20+%20t%20%7By'%7D%20%5Chspace%7B2em%7D%20y(%20-1%20)=%202" alt="5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2" title="5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2" data-latex="5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2"> </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} = 2 \, t^{5} + 4 \, t^{2}" alt="{y} = 2 \, t^{5} + 4 \, t^{2}" title="{y} = 2 \, t^{5} + 4 \, t^{2}" data-latex="{y} = 2 \, t^{5} + 4 \, t^{2}"/> </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=%202%20%5C,%20t%5E%7B5%7D%20+%204%20%5C,%20t%5E%7B2%7D" alt="{y} = 2 \, t^{5} + 4 \, t^{2}" title="{y} = 2 \, t^{5} + 4 \, t^{2}" data-latex="{y} = 2 \, t^{5} + 4 \, t^{2}"> </p> </div> </mattext> </material> </flow_mat> </itemfeedback> </item>