3.487   ODE No. 487

$$\boxed{{\displaystyle {\left(y\left(x\right)\right)}^2{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2-6x^3\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+4x^{2}y\left(x\right)=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.858 (sec), leaf count = 114 $$\{y\left(x\right)=(-\frac{\sqrt[3]{18}}{4}\sqrt[3]{x}-\frac{i}{4}\sqrt{3}\sqrt[3]{18}\sqrt[3]{x})x,y\left(x\right)=(-\frac{\sqrt[3]{18}}{4}\sqrt[3]{x}+\frac{i}{4}\sqrt{3}\sqrt[3]{18}\sqrt[3]{x})x,y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\ln \left(x\right)+{\int }^{\mathit{\_}\mathit{Z}}-\frac{3}{4\mathit{\_}\mathit{a}(4{\mathit{\_}\mathit{a}}^3-9)}(4{\mathit{\_}\mathit{a}}^3+3\sqrt{-4{\mathit{\_}\mathit{a}}^3+9}-9)d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})x^{\frac{4}{3}},y\left(x\right)=\frac{\sqrt[3]{18}}{2}{x}^{\frac{4}{3}}\}$$