0004.tex

\begin{exerciseStatement}


Explain how to find the general solution to the given ODE.

\[ 48 \, e^{\left(-4 \, t\right)} = -12 \, {y} + 3 \, {y'} \]
\end{exerciseStatement}
    
\begin{exerciseAnswer} 
\[ {y} = k e^{\left(4 \, t\right)} - 2 \, e^{\left(-4 \, t\right)} \]
\end{exerciseAnswer}