2.646   ODE No. 646

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

$$y^{\prime }(x)=\frac{\sqrt{x^3-6y(x)}+\frac{x^3}{2}+\frac{x^2}{2}}{x+1}$$ ✓ Mathematica : cpu = 0.166252 (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 = 0.227 (sec), leaf count = 23

$$\{\mathit{\_}\mathit{C}\mathit{1}-3\ln (1+x)-\sqrt{x^3-6y\left(x\right)}=0\}$$