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