<exercise masterit-seed="8646" masterit-slug="F2" masterit-name="Separation of variables">
<statement>
<p>Find the solution to the given IVP.</p>
<me> -2 \, {y}^{2} {y'} + \frac{12 \, t}{{y}} + \frac{4}{{y}} = 0 \hspace{2em}
y( 3 )= 3 </me>
</statement>
<answer>
<me> {y} = {\left(3 \, t^{2} + 2 \, t - 6\right)}^{\frac{1}{3}} </me>
</answer>
</exercise>
