3.542   ODE No. 542

$$\boxed{{\displaystyle 16{\left(y\left(x\right)\right)}^2{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^3+2x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-y\left(x\right)=0}}$$

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

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

Maple: cpu = 0.500 (sec), leaf count = 107 $$\{y\left(x\right)=\sqrt{16{\mathit{\_}\mathit{C}\mathit{1}}^3+2\mathit{\_}\mathit{C}\mathit{1}x},y\left(x\right)=-\frac{i}{3}\sqrt[4]{2}\sqrt[4]{3}\sqrt[4]{-x^3},y\left(x\right)=\frac{i}{3}\sqrt[4]{2}\sqrt[4]{3}\sqrt[4]{-x^3},y\left(x\right)=-\sqrt{16{\mathit{\_}\mathit{C}\mathit{1}}^3+2\mathit{\_}\mathit{C}\mathit{1}x},y\left(x\right)=-\frac{\sqrt[4]{2}\sqrt[4]{3}}{3}\sqrt[4]{-x^3},y\left(x\right)=\frac{\sqrt[4]{2}\sqrt[4]{3}}{3}\sqrt[4]{-x^3}\}$$