3.717   ODE No. 717

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

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

Mathematica: cpu = 0.337543 (sec), leaf count = 46 $$\left\{\{y(x)\to \frac{1}{4}(-a^2-2ax-8c_1\log (x+1)+4c_1^2-x^2+4{\log }^2(x+1))\}\right\}$$

Maple: cpu = 0.281 (sec), leaf count = 33 $$\{\mathit{\_}\mathit{C}\mathit{1}+\frac{a}{2}+2\ln (1+x)-\sqrt{x^2+2ax+a^2+4y\left(x\right)}=0\}$$