3.541   ODE No. 541

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

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

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

Maple: cpu = 0.499 (sec), leaf count = 103 $$\{y\left(x\right)=\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^3+2\mathit{\_}\mathit{C}\mathit{1}x},y\left(x\right)=-\frac{2i}{3}\sqrt[4]{2}\sqrt[4]{3}\sqrt[4]{-x^3},y\left(x\right)=\frac{2i}{3}\sqrt[4]{2}\sqrt[4]{3}\sqrt[4]{-x^3},y\left(x\right)=-\sqrt{{\mathit{\_}\mathit{C}\mathit{1}}^3+2\mathit{\_}\mathit{C}\mathit{1}x},y\left(x\right)=-\frac{2\sqrt[4]{2}\sqrt[4]{3}}{3}\sqrt[4]{-x^3},y\left(x\right)=\frac{2\sqrt[4]{2}\sqrt[4]{3}}{3}\sqrt[4]{-x^3}\}$$