Find the solution to the given system of IVPs.
\[ {x'} + {y} = {x} \hspace{2em}x(0)= 0 \]
\[ 0 = -2 \, {y} - {y'} - 4 \, {x} \hspace{2em}x(0)= 5 \]
Answer:
\[x= -e^{\left(2 \, t\right)} + e^{\left(-3 \, t\right)} \]
\[y= e^{\left(2 \, t\right)} + 4 \, e^{\left(-3 \, t\right)} \]