3.140   ODE No. 140

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

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

Mathematica: cpu = 0.009501 (sec), leaf count = 17 $$\left\{\{y(x)\to \frac{1}{c_1+x}-\frac{2}{x}\}\right\}$$

Maple: cpu = 0.032 (sec), leaf count = 23 $$\{y\left(x\right)=-\frac{2\mathit{\_}\mathit{C}\mathit{1}-x}{x(-x+\mathit{\_}\mathit{C}\mathit{1})}\}$$