2.537   ODE No. 537

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

$$(x^6+3xy(x{)}^2)y^{\prime }(x)-2x^{5}y(x)+x^3{y}^{\prime }(x{)}^3-3x^{2}y(x)y^{\prime }(x{)}^2-y(x{)}^3=0$$ ✗ Mathematica : cpu = 300.002 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 5.589 (sec), leaf count = 209

$$\{y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\ln \left(x\right)+{\int }^{\mathit{\_}\mathit{Z}}-\frac{1}{6\mathit{\_}\mathit{a}}(34^{2/3}{\left(\frac{3\sqrt{81{\mathit{\_}\mathit{a}}^2+12}\mathit{\_}\mathit{a}-27{\mathit{\_}\mathit{a}}^2-4}{{(27{\mathit{\_}\mathit{a}}^2+4)}^2}\right)}^{2/3}\sqrt{81{\mathit{\_}\mathit{a}}^2+12}\mathit{\_}\mathit{a}+274^{2/3}{\left(\frac{3\sqrt{81{\mathit{\_}\mathit{a}}^2+12}\mathit{\_}\mathit{a}-27{\mathit{\_}\mathit{a}}^2-4}{{(27{\mathit{\_}\mathit{a}}^2+4)}^2}\right)}^{2/3}{\mathit{\_}\mathit{a}}^2+44^{2/3}{\left(\frac{3\sqrt{81{\mathit{\_}\mathit{a}}^2+12}\mathit{\_}\mathit{a}-27{\mathit{\_}\mathit{a}}^2-4}{{(27{\mathit{\_}\mathit{a}}^2+4)}^2}\right)}^{2/3}-4\sqrt[3]{4}\sqrt[3]{\frac{3\sqrt{81{\mathit{\_}\mathit{a}}^2+12}\mathit{\_}\mathit{a}-27{\mathit{\_}\mathit{a}}^2-4}{{(27{\mathit{\_}\mathit{a}}^2+4)}^2}}+4)d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})x^{\frac{5}{2}},y\left(x\right)=-\frac{2x^2}{9}\sqrt{-3x},y\left(x\right)=\frac{2x^2}{9}\sqrt{-3x}\}$$