\[ \left \{x'(t)=-x(t) (x(t)+y(t)),y'(t)=y(t) (x(t)+y(t))\right \} \] ✓ Mathematica : cpu = 0.0320421 (sec), leaf count = 64
\[\left \{\left \{y(t)\to -\sqrt {c_1} \cot \left (\sqrt {c_1} t-\sqrt {c_1} c_2\right ),x(t)\to -\sqrt {c_1} \tan \left (\sqrt {c_1} t-\sqrt {c_1} c_2\right )\right \}\right \}\] ✓ Maple : cpu = 0.147 (sec), leaf count = 57
\[\left [\{x \relax (t ) = 0\}, \left \{y \relax (t ) = \frac {1}{c_{1}-t}\right \}\right ]\]