11.3   ODE No. 1915

$$\boxed{{\displaystyle \{\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)=x\left(t\right)(a(px\left(t\right)+qy\left(t\right))+\alpha ),\frac{\mathrm{d}}{\mathrm{d}t}y\left(t\right)=y\left(t\right)(\beta +b(px\left(t\right)+qy\left(t\right)))\}}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 13.791 (sec), leaf count = 181 $$\{[\{x\left(t\right)=0\},\{y\left(t\right)=\frac{\beta }{{\mathrm{e}}^{-\beta t}\mathit{\_}\mathit{C}\mathit{1}\beta -bq}\}],[\{x\left(t\right)=\mathit{O}\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}\mathit{S}\mathit{t}\mathit{r}\mathit{u}\mathit{c}(\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right),[\{{\left(\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\right)}^{-\frac{a+b}{a}}{\mathrm{e}}^{-\frac{\mathit{\_}\mathit{a}(a\beta -\alpha b)}{a}}\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{a}}\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)-\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right){\mathrm{e}}^{-\frac{\mathit{\_}\mathit{a}(a\beta -\alpha b)}{a}}{\left(\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\right)}^{-\frac{b}{a}}ap-{\mathrm{e}}^{-\frac{\mathit{\_}\mathit{a}(a\beta -\alpha b)}{a}}{\left(\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\right)}^{-\frac{b}{a}}\alpha +\mathit{\_}\mathit{C}\mathit{1}=0\},\{\mathit{\_}\mathit{a}=t,\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)=x\left(t\right)\},\{t=\mathit{\_}\mathit{a},x\left(t\right)=\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\}])\},\{y\left(t\right)=\frac{-{\left(x\left(t\right)\right)}^{2}ap-\alpha x\left(t\right)+\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)}{qx\left(t\right)a}\}]\}$$