0009.tex

\begin{exerciseStatement}


Find the solution to the given IVP.

\[ t {y'} = -4 \, {y} + \frac{8}{t^{2}} \hspace{2em}
      y( 1 )= 1 \]
\end{exerciseStatement}
    
\begin{exerciseAnswer} 
\[ {y} = \frac{4}{t^{2}} - \frac{3}{t^{4}} \]
\end{exerciseAnswer}