0009.tex

\begin{exerciseStatement}


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

\[ 2 \, {y'} - 18 \, e^{\left(5 \, t\right)} = 4 \, {y} \]
\end{exerciseStatement}
    
\begin{exerciseAnswer} 
\[ {y} = k e^{\left(2 \, t\right)} + 3 \, e^{\left(5 \, t\right)} \]
\end{exerciseAnswer}