3.136   ODE No. 136

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

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

Mathematica: cpu = 0.012502 (sec), leaf count = 28 $$\left\{\{y(x)\to \frac{-c_{1}x-x+x\log (x)}{c_1-\log (x)}\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 18 $$\{y\left(x\right)=-\frac{x(\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}-1)}{\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}}\}$$