3.631   ODE No. 631

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

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

Mathematica: cpu = 0.096512 (sec), leaf count = 31 $$\left\{\{y(x)\to \frac{1}{6}(-12c_1{x}^3-36c_1^2-x^6+x^3)\}\right\}$$

Maple: cpu = 0.172 (sec), leaf count = 23 $$\{\mathit{\_}\mathit{C}\mathit{1}-x^3-\frac{1}{2}-\sqrt{x^3-6y\left(x\right)}=0\}$$