2.1913   ODE No. 1913

1. Problem in Latex
2. Mathematica input
3. Maple input

$$\{x^{\prime }(t)=-x(t)(x(t)+y(t)),y^{\prime }(t)=y(t)(x(t)+y(t))\}$$ ✓ Mathematica : cpu = 0.0900881 (sec), leaf count = 64

$$\left\{\{y(t)\to -\sqrt{c_1}\cot (\sqrt{c_1}t-\sqrt{c_1}{c}_2),x(t)\to -\sqrt{c_1}\tan (\sqrt{c_1}t-\sqrt{c_1}{c}_2)\}\right\}$$

✓ Maple : cpu = 0.127 (sec), leaf count = 54

$$\{[\{x\left(t\right)=0\},\{y\left(t\right)={(\mathit{\_}\mathit{C}\mathit{1}-t)}^{-1}\}],[\{x\left(t\right)=\frac{1}{\mathit{\_}\mathit{C}\mathit{1}}\tanh \left(\frac{\mathit{\_}\mathit{C}\mathit{2}+t}{\mathit{\_}\mathit{C}\mathit{1}}\right)\},\{y\left(t\right)=-\frac{{\left(x\left(t\right)\right)}^2+\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)}{x\left(t\right)}\}]\}$$