2.537   ODE No. 537

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

$$x^3{y}^{\prime }(x{)}^3-3x^{2}y(x)y^{\prime }(x{)}^2+(x^6+3xy(x{)}^2)y^{\prime }(x)-2x^{5}y(x)-y(x{)}^3=0$$ ✗ Mathematica : cpu = 300.004 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 5.886 (sec), leaf count = 250

$$\{y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\ln \left(x\right)+{\int }^{\mathit{\_}\mathit{Z}}\frac{2}{3\mathit{\_}\mathit{a}(27{\mathit{\_}\mathit{a}}^2+4)}(27{(-4\frac{-9\mathit{\_}\mathit{a}+\sqrt{81{\mathit{\_}\mathit{a}}^2+12}}{(27{\mathit{\_}\mathit{a}}^2+4)\sqrt{81{\mathit{\_}\mathit{a}}^2+12}})}^{2/3}{\mathit{\_}\mathit{a}}^2-27{\mathit{\_}\mathit{a}}^2\sqrt[3]{-4\frac{-9\mathit{\_}\mathit{a}+\sqrt{81{\mathit{\_}\mathit{a}}^2+12}}{(27{\mathit{\_}\mathit{a}}^2+4)\sqrt{81{\mathit{\_}\mathit{a}}^2+12}}}+4{(-4\frac{-9\mathit{\_}\mathit{a}+\sqrt{81{\mathit{\_}\mathit{a}}^2+12}}{(27{\mathit{\_}\mathit{a}}^2+4)\sqrt{81{\mathit{\_}\mathit{a}}^2+12}})}^{2/3}-4\sqrt[3]{-4\frac{-9\mathit{\_}\mathit{a}+\sqrt{81{\mathit{\_}\mathit{a}}^2+12}}{(27{\mathit{\_}\mathit{a}}^2+4)\sqrt{81{\mathit{\_}\mathit{a}}^2+12}}}+4)\frac{1}{\sqrt[3]{-4\frac{-9\mathit{\_}\mathit{a}+\sqrt{81{\mathit{\_}\mathit{a}}^2+12}}{(27{\mathit{\_}\mathit{a}}^2+4)\sqrt{81{\mathit{\_}\mathit{a}}^2+12}}}}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})x^{\frac{5}{2}},y\left(x\right)=-\frac{2x^2}{9}\sqrt{-3x},y\left(x\right)=\frac{2x^2}{9}\sqrt{-3x}\}$$