<exercise masterit-seed="2974" masterit-slug="F2" masterit-name="Separation of variables">
<statement>
<p>Find the solution to the given IVP.</p>
<me> 6 \, {y} \sin\left(t\right) = 3 \, {y'} \hspace{2em}
y( 0 )= -e^{\left(-2\right)} </me>
</statement>
<answer>
<me> {y} = -e^{\left(-2 \, \cos\left(t\right)\right)} </me>
</answer>
</exercise>