3.646   ODE No. 646

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=1/2\frac{x^3+x^2+2\sqrt{x^3-6y\left(x\right)}}{1+x}=0}}$$

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

Mathematica: cpu = 0.180523 (sec), leaf count = 35 $$\left\{\{y(x)\to \frac{1}{6}(18c_1\log (x+1)-9c_1^2+x^3-9{\log }^2(x+1))\}\right\}$$

Maple: cpu = 0.202 (sec), leaf count = 23 $$\{\mathit{\_}\mathit{C}\mathit{1}-3\ln (1+x)-\sqrt{x^3-6y\left(x\right)}=0\}$$