<exercise masterit-seed="6504" masterit-slug="F2" masterit-name="Separation of variables">
<statement>
<p>Find the solution to the given IVP.</p>
<me> -\frac{18 \, t}{{y}} = -3 \, {y} {y'} + \frac{6}{{y}} \hspace{2em}
y( 2 )= 2 </me>
</statement>
<answer>
<me> {y} = \sqrt{3 \, t^{2} + 2 \, t - 12} </me>
</answer>
</exercise>
