2.129   ODE No. 129

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

$$(x+1)y^{\prime }(x)+y(x)(y(x)-x)=0$$ ✓ Mathematica : cpu = 0.164196 (sec), leaf count = 44

$$\left\{\{y(x)\to -\frac{e^{x+1}}{-x\text{Ei}(x+1)-\text{Ei}(x+1)+e^{x+1}-e{c}_{1}x-e{c}_1}\}\right\}$$ ✓ Maple : cpu = 0.027 (sec), leaf count = 33

$$\{y\left(x\right)=\frac{{\mathrm{e}}^x}{-{\mathrm{e}}^{-1}(1+x)\mathit{E}\mathit{i}(1,-1-x)-{\mathrm{e}}^x+\mathit{\_}\mathit{C}\mathit{1}(1+x)}\}$$