<exercise masterit-seed="8763" masterit-slug="F2" masterit-name="Separation of variables">
<statement>
<p>Find the solution to the given IVP.</p>
<me> -3 \, {y'} {y} = -\frac{12 \, t}{{y}^{2}} - \frac{3}{{y}^{2}} \hspace{2em}
y( 2 )= 3 </me>
</statement>
<answer>
<me> {y} = {\left(2 \, t^{2} + t + 17\right)}^{\frac{1}{3}} </me>
</answer>
</exercise>
