Find the solution to the given system of IVPs.
\[ 2 \, {y} + {x} = -{x'} \hspace{2em}x(0)= 3 \]
\[ {y'} + 6 \, {y} = 2 \, {x} \hspace{2em}x(0)= 3 \]
Answer:
\[x= 2 \, e^{\left(-2 \, t\right)} + e^{\left(-5 \, t\right)} \]
\[y= e^{\left(-2 \, t\right)} + 2 \, e^{\left(-5 \, t\right)} \]