2.524   ODE No. 524

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

$$y^{\prime }(x{)}^3-2y(x)y^{\prime }(x)+y(x{)}^2=0$$ ✗ Mathematica : cpu = 300.003 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.095 (sec), leaf count = 243

$$\{x-{\int }^{y\left(x\right)}12\frac{\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+12\sqrt{81{\mathit{\_}\mathit{a}}^4-96{\mathit{\_}\mathit{a}}^3}}}{(-1+i\sqrt{3}){(-108{\mathit{\_}\mathit{a}}^2+12\sqrt{81{\mathit{\_}\mathit{a}}^4-96{\mathit{\_}\mathit{a}}^3})}^{2/3}+12\mathit{\_}\mathit{a}{(-1+i\sqrt{3})}^2}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}6\frac{\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+12\sqrt{81{\mathit{\_}\mathit{a}}^4-96{\mathit{\_}\mathit{a}}^3}}}{{(-108{\mathit{\_}\mathit{a}}^2+12\sqrt{81{\mathit{\_}\mathit{a}}^4-96{\mathit{\_}\mathit{a}}^3})}^{2/3}+24\mathit{\_}\mathit{a}}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}12\frac{\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+12\sqrt{81{\mathit{\_}\mathit{a}}^4-96{\mathit{\_}\mathit{a}}^3}}}{(1+i\sqrt{3})(12i\mathit{\_}\mathit{a}\sqrt{3}-{(-108{\mathit{\_}\mathit{a}}^2+12\sqrt{81{\mathit{\_}\mathit{a}}^4-96{\mathit{\_}\mathit{a}}^3})}^{2/3}+12\mathit{\_}\mathit{a})}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$