\[ \left \{x'(t)+2 y(t)=3 t,y'(t)-2 x(t)=4\right \} \] ✓ Mathematica : cpu = 0.0301934 (sec), leaf count = 47
\[\left \{\left \{x(t)\to -c_2 \sin (2 t)+c_1 \cos (2 t)-\frac {5}{4},y(t)\to c_1 \sin (2 t)+c_2 \cos (2 t)+\frac {3 t}{2}\right \}\right \}\]
✓ Maple : cpu = 0.039 (sec), leaf count = 39
\[ \left \{ \left \{ x \left ( t \right ) =\sin \left ( 2\,t \right ) {\it \_C2}+\cos \left ( 2\,t \right ) {\it \_C1}-{\frac {5}{4}},y \left ( t \right ) =-\cos \left ( 2\,t \right ) {\it \_C2}+\sin \left ( 2\,t \right ) {\it \_C1}+{\frac {3\,t}{2}} \right \} \right \} \]