3.658   ODE No. 658

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-1/4\frac{x^2-1-4\sqrt{x^2-2x+1+8y\left(x\right)}}{1+x}=0}}$$

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

Mathematica: cpu = 0.247531 (sec), leaf count = 45 $$\left\{\{y(x)\to \frac{1}{8}(-32c_1\log (4(x+1))+16c_1^2-x^2+2x+16{\log }^2(4(x+1))-1)\}\right\}$$

Maple: cpu = 0.218 (sec), leaf count = 28 $$\{\mathit{\_}\mathit{C}\mathit{1}+4\ln (1+x)-\frac{1}{4}-\sqrt{x^2-2x+1+8y\left(x\right)}=0\}$$