3.727   ODE No. 727

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{(2x+2+y\left(x\right))y\left(x\right)}{(\ln \left(y\left(x\right)\right)+2x-1)(1+x)}=0}}$$

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

Mathematica: cpu = 0.495063 (sec), leaf count = 29 $$\left\{\{y(x)\to \frac{W\left(e^{-2x}(c_1+\log (x+1))\right)}{c_1+\log (x+1)}\}\right\}$$

Maple: cpu = 0.187 (sec), leaf count = 25 $$\{y\left(x\right)={\mathrm{e}}^{-\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}\left((\ln (1+x)-\mathit{\_}\mathit{C}\mathit{1}){\mathrm{e}}^{-2x}\right)-2x}\}$$