<item ident="F3-4749" title="F3 | Techniques for linear IVPs | ver. 4749"> <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} - \frac{24}{t^{3}} = -{y'} t \hspace{2em} y( 1 )= 0" alt="-5 \, {y} - \frac{24}{t^{3}} = -{y'} t \hspace{2em} y( 1 )= 0" title="-5 \, {y} - \frac{24}{t^{3}} = -{y'} t \hspace{2em} y( 1 )= 0" data-latex="-5 \, {y} - \frac{24}{t^{3}} = -{y'} t \hspace{2em} y( 1 )= 0"/> </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-%20%5Cfrac%7B24%7D%7Bt%5E%7B3%7D%7D%20=%20-%7By'%7D%20t%20%5Chspace%7B2em%7D%20y(%201%20)=%200" alt="-5 \, {y} - \frac{24}{t^{3}} = -{y'} t \hspace{2em} y( 1 )= 0" title="-5 \, {y} - \frac{24}{t^{3}} = -{y'} t \hspace{2em} y( 1 )= 0" data-latex="-5 \, {y} - \frac{24}{t^{3}} = -{y'} t \hspace{2em} y( 1 )= 0"> </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} = 3 \, t^{5} - \frac{3}{t^{3}}" alt="{y} = 3 \, t^{5} - \frac{3}{t^{3}}" title="{y} = 3 \, t^{5} - \frac{3}{t^{3}}" data-latex="{y} = 3 \, t^{5} - \frac{3}{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=%203%20%5C,%20t%5E%7B5%7D%20-%20%5Cfrac%7B3%7D%7Bt%5E%7B3%7D%7D" alt="{y} = 3 \, t^{5} - \frac{3}{t^{3}}" title="{y} = 3 \, t^{5} - \frac{3}{t^{3}}" data-latex="{y} = 3 \, t^{5} - \frac{3}{t^{3}}"> </p> </div> </mattext> </material> </flow_mat> </itemfeedback> </item>