Find the solution to the given system of IVPs.
\[ -{x} = -{x'} - 2 \, {y} \hspace{2em}x(0)= -1 \]
\[ 0 = 2 \, {x} + {y'} + 2 \, {y} \hspace{2em}x(0)= 3 \]
Answer:
\[x= -2 \, e^{\left(2 \, t\right)} + e^{\left(-3 \, t\right)} \]
\[y= e^{\left(2 \, t\right)} + 2 \, e^{\left(-3 \, t\right)} \]