2.530   ODE No. 530

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

$$y^{\prime }(x{)}^3-y(x)y^{\prime }(x{)}^2+y(x{)}^2=0$$ ✗ Mathematica : cpu = 315.379 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.165 (sec), leaf count = 370

$$\{x-{\int }^{y\left(x\right)}6\frac{\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+8{\mathit{\_}\mathit{a}}^3+12\sqrt{-12{\mathit{\_}\mathit{a}}^5+81{\mathit{\_}\mathit{a}}^4}}}{{(-108{\mathit{\_}\mathit{a}}^2+8{\mathit{\_}\mathit{a}}^3+12\sqrt{-12{\mathit{\_}\mathit{a}}^5+81{\mathit{\_}\mathit{a}}^4})}^{2/3}+2\mathit{\_}\mathit{a}\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+8{\mathit{\_}\mathit{a}}^3+12\sqrt{-12{\mathit{\_}\mathit{a}}^5+81{\mathit{\_}\mathit{a}}^4}}+4{\mathit{\_}\mathit{a}}^2}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}-12\frac{\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+8{\mathit{\_}\mathit{a}}^3+12\sqrt{-12{\mathit{\_}\mathit{a}}^5+81{\mathit{\_}\mathit{a}}^4}}}{(1+i\sqrt{3})(\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+8{\mathit{\_}\mathit{a}}^3+12\sqrt{-12{\mathit{\_}\mathit{a}}^5+81{\mathit{\_}\mathit{a}}^4}}-2\mathit{\_}\mathit{a})(\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+8{\mathit{\_}\mathit{a}}^3+12\sqrt{-12{\mathit{\_}\mathit{a}}^5+81{\mathit{\_}\mathit{a}}^4}}+i\sqrt{3}\mathit{\_}\mathit{a}+\mathit{\_}\mathit{a})}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}12\frac{\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+8{\mathit{\_}\mathit{a}}^3+12\sqrt{-12{\mathit{\_}\mathit{a}}^5+81{\mathit{\_}\mathit{a}}^4}}}{(i\sqrt{3}-1)(\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+8{\mathit{\_}\mathit{a}}^3+12\sqrt{-12{\mathit{\_}\mathit{a}}^5+81{\mathit{\_}\mathit{a}}^4}}-2\mathit{\_}\mathit{a})(\sqrt[3]{-108{\mathit{\_}\mathit{a}}^2+8{\mathit{\_}\mathit{a}}^3+12\sqrt{-12{\mathit{\_}\mathit{a}}^5+81{\mathit{\_}\mathit{a}}^4}}-i\sqrt{3}\mathit{\_}\mathit{a}+\mathit{\_}\mathit{a})}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,y\left(x\right)=0\}$$