<exercise masterit-seed="1846" masterit-slug="F2" masterit-name="Separation of variables">
<statement>
<p>Find the solution to the given IVP.</p>
<me> -2 \, {y}^{2} {y'} = -\frac{4 \, t}{{y}} - \frac{4}{{y}} \hspace{2em}
y( 3 )= 3 </me>
</statement>
<answer>
<me> {y} = {\left(t^{2} + 2 \, t + 12\right)}^{\frac{1}{3}} </me>
</answer>
</exercise>
