\[
\boxed{
 \left\{ {\frac {\rm d}{{\rm d}t}}x \left( t \right) +3\,x \left( t \right) -y \left( t \right) ={{\rm e}^{2\,t}},{\frac {\rm d}{{\rm d}t}}y \left( t \right) +x \left( t \right) +5\,y \left( t \right) ={{\rm e}^{t}} \right\} }
\]