3.999   ODE No. 999

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

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

Mathematica: cpu = 0.023503 (sec), leaf count = 24 $$\left\{\{y(x)\to \frac{1}{c_1-\log (x+1)}+x-\log (x+1)\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 39 $$\{y\left(x\right)=-\frac{{(\ln (1+x))}^2+\mathit{\_}\mathit{C}\mathit{1}\ln (1+x)-x\ln (1+x)-x\mathit{\_}\mathit{C}\mathit{1}+1}{\ln (1+x)+\mathit{\_}\mathit{C}\mathit{1}}\}$$