2.542   ODE No. 542

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

$$16y(x{)}^2{y}^{\prime }(x{)}^3+2x{y}^{\prime }(x)-y(x)=0$$ ✓ Mathematica : cpu = 0.029263 (sec), leaf count = 20

$$\left\{\{y(x)\to \sqrt{c_{1}x+2c_1{}^3}\}\right\}$$ ✓ Maple : cpu = 0.508 (sec), leaf count = 107

$$\{y\left(x\right)=\sqrt{16{\mathit{\_}\mathit{C}\mathit{1}}^3+2\mathit{\_}\mathit{C}\mathit{1}x},y\left(x\right)=-\frac{i}{3}\sqrt[4]{2}\sqrt[4]{3}\sqrt[4]{-x^3},y\left(x\right)=\frac{i}{3}\sqrt[4]{2}\sqrt[4]{3}\sqrt[4]{-x^3},y\left(x\right)=-\sqrt{16{\mathit{\_}\mathit{C}\mathit{1}}^3+2\mathit{\_}\mathit{C}\mathit{1}x},y\left(x\right)=-\frac{\sqrt[4]{2}\sqrt[4]{3}}{3}\sqrt[4]{-x^3},y\left(x\right)=\frac{\sqrt[4]{2}\sqrt[4]{3}}{3}\sqrt[4]{-x^3}\}$$