11.4   ODE No. 1916

$$\boxed{{\displaystyle \{\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)=h(a-x\left(t\right))(c-x\left(t\right)-y\left(t\right)),\frac{\mathrm{d}}{\mathrm{d}t}y\left(t\right)=k(b-y\left(t\right))(c-x\left(t\right)-y\left(t\right))\}}}$$

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

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

Maple: cpu = 0.359 (sec), leaf count = 237 $$\{[\{x\left(t\right)=a\},\{y\left(t\right)=-\frac{a{\mathrm{e}}^{\mathit{\_}\mathit{C}\mathit{1}ka+\mathit{\_}\mathit{C}\mathit{1}kb-\mathit{\_}\mathit{C}\mathit{1}kc+akt+bkt-ckt}-c{\mathrm{e}}^{\mathit{\_}\mathit{C}\mathit{1}ka+\mathit{\_}\mathit{C}\mathit{1}kb-\mathit{\_}\mathit{C}\mathit{1}kc+akt+bkt-ckt}+b}{-1+{\mathrm{e}}^{\mathit{\_}\mathit{C}\mathit{1}ka+\mathit{\_}\mathit{C}\mathit{1}kb-\mathit{\_}\mathit{C}\mathit{1}kc+akt+bkt-ckt}}\}],[\{x\left(t\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\int }^{\mathit{\_}\mathit{Z}}\frac{1}{\mathit{\_}\mathit{a}-a}{({(\mathit{\_}\mathit{a}-a)}^{-\frac{k}{h}}h\mathit{\_}\mathit{a}+{(\mathit{\_}\mathit{a}-a)}^{-\frac{k}{h}}hb-{(\mathit{\_}\mathit{a}-a)}^{-\frac{k}{h}}hc+\mathit{\_}\mathit{C}\mathit{1})}^{-1}{\left({(\mathit{\_}\mathit{a}-a)}^{\frac{k}{h}}\right)}^{-1}d\mathit{\_}\mathit{a}+t+\mathit{\_}\mathit{C}\mathit{2})\},\{y\left(t\right)=\frac{x\left(t\right)ah-ach-{\left(x\left(t\right)\right)}^{2}h+x\left(t\right)ch+\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)}{hx\left(t\right)-ha}\}]\}$$