<exercise masterit-seed="3766" masterit-slug="F3" masterit-name="Techniques for linear IVPs">
<statement>
<p>Find the solution to the given IVP.</p>
<me> -{y'} t = -5 \, t^{2} + 3 \, {y} \hspace{2em}
y( 1 )= -1 </me>
</statement>
<answer>
<me> {y} = t^{2} - \frac{2}{t^{3}} </me>
</answer>
</exercise>