<exercise masterit-seed="7165" masterit-slug="F3" masterit-name="Techniques for linear IVPs">
<statement>
<p>Find the solution to the given IVP.</p>
<me> t {y'} = -4 \, {y} + \frac{8}{t^{2}} \hspace{2em}
y( 1 )= 1 </me>
</statement>
<answer>
<me> {y} = \frac{4}{t^{2}} - \frac{3}{t^{4}} </me>
</answer>
</exercise>