Find the solution to the given system of IVPs.
\[ -{y} + 4 \, {x} = {x'} \hspace{2em}x(0)= -2 \]
\[ -7 \, {y} = -{y'} - 4 \, {x} \hspace{2em}x(0)= 3 \]
Answer:
\[x= -e^{\left(8 \, t\right)} - e^{\left(3 \, t\right)} \]
\[y= 4 \, e^{\left(8 \, t\right)} - e^{\left(3 \, t\right)} \]