0008.tex

\begin{exerciseStatement}


Find the solution to the given system of IVPs.

\[ 2 \, {y} = -4 \, {x} + {x'} \hspace{2em}x(0)= -1 \]\[ -2 \, {x} = -9 \, {y} + {y'} \hspace{2em}x(0)= 1 \]
\end{exerciseStatement}
    
\begin{exerciseAnswer} 
\[x= e^{\left(8 \, t\right)} - 2 \, e^{\left(5 \, t\right)} \]\[y= 2 \, e^{\left(8 \, t\right)} - e^{\left(5 \, t\right)} \]
\end{exerciseAnswer}