<exercise masterit-seed="3627" masterit-slug="F3" masterit-name="Techniques for linear IVPs">
<statement>
<p>Find the solution to the given IVP.</p>
<me> -{y'} t - 2 \, {y} + 12 \, t = 0 \hspace{2em}
y( 1 )= 5 </me>
</statement>
<answer>
<me> {y} = 4 \, t + \frac{1}{t^{2}} </me>
</answer>
</exercise>