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 = 0 (sec), leaf count = 0 , crash

Kernel Crash

✓ Maple : cpu = 0.06 (sec), leaf count = 295

$$\{x-{\int }^{y\left(x\right)}6\frac{\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+12\sqrt{3}\sqrt{{\mathit{\_}\mathit{a}}^3(27\mathit{\_}\mathit{a}-32)}}}{{(-108{\mathit{\_}\mathit{a}}^2+12\sqrt{3}\sqrt{{\mathit{\_}\mathit{a}}^3(27\mathit{\_}\mathit{a}-32)})}^{2/3}+24\mathit{\_}\mathit{a}}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}24\frac{\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+12\sqrt{3}\sqrt{{\mathit{\_}\mathit{a}}^3(27\mathit{\_}\mathit{a}-32)}}}{(i\sqrt{3}-1)(i{(-108{\mathit{\_}\mathit{a}}^2+12\sqrt{3}\sqrt{{\mathit{\_}\mathit{a}}^3(27\mathit{\_}\mathit{a}-32)})}^{2/3}\sqrt{3}-{(-108{\mathit{\_}\mathit{a}}^2+12\sqrt{3}\sqrt{{\mathit{\_}\mathit{a}}^3(27\mathit{\_}\mathit{a}-32)})}^{2/3}+48\mathit{\_}\mathit{a})}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}-24\frac{\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+12\sqrt{3}\sqrt{{\mathit{\_}\mathit{a}}^3(27\mathit{\_}\mathit{a}-32)}}}{(i\sqrt{3}+1)(-i{(-108{\mathit{\_}\mathit{a}}^2+12\sqrt{3}\sqrt{{\mathit{\_}\mathit{a}}^3(27\mathit{\_}\mathit{a}-32)})}^{2/3}\sqrt{3}-{(-108{\mathit{\_}\mathit{a}}^2+12\sqrt{3}\sqrt{{\mathit{\_}\mathit{a}}^3(27\mathit{\_}\mathit{a}-32)})}^{2/3}+48\mathit{\_}\mathit{a})}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$