\[ \left \{x'(t)=2 x(t),y'(t)=3 x(t)-2 y(t),z'(t)=2 y(t)+3 z(t)\right \} \] ✓ Mathematica : cpu = 0.0132144 (sec), leaf count = 93
\[\left \{\left \{x(t)\to c_1 e^{2 t},y(t)\to \frac {1}{4} e^{-2 t} \left (3 c_1 \left (e^{4 t}-1\right )+4 c_2\right ),z(t)\to \frac {1}{10} e^{-2 t} \left (c_1 \left (-15 e^{4 t}+12 e^{5 t}+3\right )+4 c_2 \left (e^{5 t}-1\right )+10 c_3 e^{5 t}\right )\right \}\right \}\]
✓ Maple : cpu = 0.089 (sec), leaf count = 52
\[ \left \{ \left \{ x \left ( t \right ) ={\it \_C3}\,{{\rm e}^{2\,t}},y \left ( t \right ) ={\frac {3\,{\it \_C3}\,{{\rm e}^{2\,t}}}{4}}+{{\rm e}^{-2\,t}}{\it \_C2},z \left ( t \right ) ={\it \_C1}\,{{\rm e}^{3\,t}}-{\frac {3\,{\it \_C3}\,{{\rm e}^{2\,t}}}{2}}-{\frac {2\,{{\rm e}^{-2\,t}}{\it \_C2}}{5}} \right \} \right \} \]