\begin{exerciseStatement}
Explain how to find the general solution to the given ODE.
\[ 0 = 8 \, {y} - 6 \, {y'} + {y''} - 60 \, \cos\left(5 \, t\right) - 34 \, \sin\left(5 \, t\right) \]
\end{exerciseStatement}
\begin{exerciseAnswer}
\[ {y} = k_{1} e^{\left(4 \, t\right)} + k_{2} e^{\left(2 \, t\right)} - 2 \, \sin\left(5 \, t\right) \]
\end{exerciseAnswer}
