0004.tex

\begin{exerciseStatement}


Find the solution to the given IVP.

\[ -2 \, {y}^{2} {y'} + \frac{12 \, t}{{y}} + \frac{4}{{y}} = 0 \hspace{2em}
      y( 3 )= 3 \]
\end{exerciseStatement}
    
\begin{exerciseAnswer} 
\[ {y} = {\left(3 \, t^{2} + 2 \, t - 6\right)}^{\frac{1}{3}} \]
\end{exerciseAnswer}