\[ \left \{x'(t)=2 x(t),y'(t)=3 x(t)-2 y(t),z'(t)=2 y(t)+3 z(t)\right \} \] ✓ Mathematica : cpu = 0.007828 (sec), leaf count = 112
\[\left \{\left \{x(t)\to c_1 e^{2 t},y(t)\to \frac {3}{4} c_1 e^{-2 t} \left (e^{4 t}-1\right )+c_2 e^{-2 t},z(t)\to \frac {3}{10} c_1 e^{-2 t} \left (2 e^t+3 e^{2 t}+4 e^{3 t}+1\right ) \left (e^t-1\right )^2+\frac {2}{5} c_2 e^{-2 t} \left (e^{5 t}-1\right )+c_3 e^{3 t}\right \}\right \}\] ✓ Maple : cpu = 0.098 (sec), leaf count = 52
\[\left \{x \relax (t ) = c_{3} {\mathrm e}^{2 t}, y \relax (t ) = \frac {3 c_{3} {\mathrm e}^{2 t}}{4}+c_{2} {\mathrm e}^{-2 t}, z \relax (t ) = c_{1} {\mathrm e}^{3 t}-\frac {3 c_{3} {\mathrm e}^{2 t}}{2}-\frac {2 c_{2} {\mathrm e}^{-2 t}}{5}\right \}\]