3.654   ODE No. 654

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-1/3\frac{2x^2+2x-3\sqrt{x^2+3y\left(x\right)}}{1+x}=0}}$$

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

Mathematica: cpu = 0.165021 (sec), leaf count = 37 $$\left\{\{y(x)\to \frac{1}{12}(-18c_1\log (x+1)+9c_1^2-4x^2+9{\log }^2(x+1))\}\right\}$$

Maple: cpu = 0.203 (sec), leaf count = 23 $$\{\mathit{\_}\mathit{C}\mathit{1}+\frac{3\ln (1+x)}{2}-\sqrt{x^2+3y\left(x\right)}=0\}$$