<exercise masterit-seed="6777" masterit-slug="F3" masterit-name="Techniques for linear IVPs">
<statement>
<p>Find the solution to the given IVP.</p>
<me> {y'} t - 5 \, {y} = \frac{7}{t^{2}} \hspace{2em}
y( 1 )= -4 </me>
</statement>
<answer>
<me> {y} = -3 \, t^{5} - \frac{1}{t^{2}} </me>
</answer>
</exercise>