\[ \left \{x'(t)=a y(t),y'(t)=-a x(t)\right \} \] ✓ Mathematica : cpu = 0.0546035 (sec), leaf count = 39
\[\left \{\left \{x(t)\to c_2 \sin (a t)+c_1 \cos (a t),y(t)\to c_2 \cos (a t)-c_1 \sin (a t)\right \}\right \}\]
✓ Maple : cpu = 0.048 (sec), leaf count = 35
\[ \left \{ \left \{ x \left ( t \right ) ={\it \_C1}\,\sin \left ( at \right ) +{\it \_C2}\,\cos \left ( at \right ) ,y \left ( t \right ) =-\sin \left ( at \right ) {\it \_C2}+\cos \left ( at \right ) {\it \_C1} \right \} \right \} \]