3.129   ODE No. 129

$$\boxed{{\displaystyle (1+x)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+y\left(x\right)(y\left(x\right)-x)=0}}$$

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

Mathematica: cpu = 0.027504 (sec), leaf count = 44 $$\left\{\{y(x)\to -\frac{e^{x+1}}{-e{c}_{1}x-e{c}_1-x\text{Ei}(x+1)-\text{Ei}(x+1)+e^{x+1}}\}\right\}$$

Maple: cpu = 0.032 (sec), leaf count = 41 $$\{y\left(x\right)=-\frac{{\mathrm{e}}^x}{{\mathrm{e}}^{-1}\mathit{E}\mathit{i}(1,-1-x)x+{\mathrm{e}}^{-1}\mathit{E}\mathit{i}(1,-1-x)-\mathit{\_}\mathit{C}\mathit{1}x+{\mathrm{e}}^x-\mathit{\_}\mathit{C}\mathit{1}}\}$$