3.680   ODE No. 680

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=1/2\frac{x^2+2x+1+2\sqrt{x^2+2x+1-4y\left(x\right)}}{1+x}=0}}$$

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

Mathematica: cpu = 0.235530 (sec), leaf count = 39 $$\left\{\{y(x)\to \frac{1}{4}(8c_1\log (x+1)-4c_1^2+x^2+2x-4{\log }^2(x+1)+1)\}\right\}$$

Maple: cpu = 0.218 (sec), leaf count = 28 $$\{\mathit{\_}\mathit{C}\mathit{1}-2\ln (1+x)-\frac{1}{2}-\sqrt{x^2+2x+1-4y\left(x\right)}=0\}$$