\[
\boxed{
 \left\{ {\frac {{\rm d}^{2}}{{\rm d}{t}^{2}}}x \left( t \right) +{\frac {\rm d}{{\rm d}t}}y \left( t \right) -2\,y \left( t \right) ={{\rm e}^{2\,t}},2\,{\frac {\rm d}{{\rm d}t}}x \left( t \right) +{\frac {\rm d}{{\rm d}t}}y \left( t \right) -3\,x \left( t \right) =0 \right\} }
\]