0002.tex

\begin{exerciseStatement}


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

\[ 12 \, {y} = -3 \, {y'} - 6 \, e^{\left(-5 \, t\right)} \]
\end{exerciseStatement}
    
\begin{exerciseAnswer} 
\[ {y} = k e^{\left(-4 \, t\right)} + 2 \, e^{\left(-5 \, t\right)} \]
\end{exerciseAnswer}