0010.tex

\begin{exerciseStatement}


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

\[ -16 \, e^{\left(-t\right)} = 2 \, {y'} + 10 \, {y} \]
\end{exerciseStatement}
    
\begin{exerciseAnswer} 
\[ {y} = k e^{\left(-5 \, t\right)} - 2 \, e^{\left(-t\right)} \]
\end{exerciseAnswer}