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 = 640.562 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.218 (sec), leaf count = 270

$$\{x-{\int }^{y\left(x\right)}{12}^{\frac{2}{3}}\sqrt[3]{-9{\mathit{\_}\mathit{a}}^2+\sqrt{3}\sqrt{27{\mathit{\_}\mathit{a}}^4-32{\mathit{\_}\mathit{a}}^3}}{(4\sqrt[3]{12}\mathit{\_}\mathit{a}+2{(-9{\mathit{\_}\mathit{a}}^2+\sqrt{3}\sqrt{27{\mathit{\_}\mathit{a}}^4-32{\mathit{\_}\mathit{a}}^3})}^{2/3})}^{-1}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}\frac{{12}^{\frac{2}{3}}}{1+i\sqrt{3}}\sqrt[3]{-9{\mathit{\_}\mathit{a}}^2+\sqrt{3}\sqrt{27{\mathit{\_}\mathit{a}}^4-32{\mathit{\_}\mathit{a}}^3}}{(-{(-9{\mathit{\_}\mathit{a}}^2+\sqrt{3}\sqrt{27{\mathit{\_}\mathit{a}}^4-32{\mathit{\_}\mathit{a}}^3})}^{\frac{2}{3}}+\sqrt[3]{12}(1+i\sqrt{3})\mathit{\_}\mathit{a})}^{-1}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}\frac{{12}^{\frac{2}{3}}}{i\sqrt{3}-1}\sqrt[3]{-9{\mathit{\_}\mathit{a}}^2+\sqrt{3}\sqrt{27{\mathit{\_}\mathit{a}}^4-32{\mathit{\_}\mathit{a}}^3}}{({(-9{\mathit{\_}\mathit{a}}^2+\sqrt{3}\sqrt{27{\mathit{\_}\mathit{a}}^4-32{\mathit{\_}\mathit{a}}^3})}^{\frac{2}{3}}+\sqrt[3]{12}\mathit{\_}\mathit{a}(i\sqrt{3}-1))}^{-1}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$