3.635   ODE No. 635

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

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

Mathematica: cpu = 0.125016 (sec), leaf count = 33 $$\left\{\{y(x)\to \frac{1}{24}(36c_1{x}^2-36c_1^2-9x^4+4x^3)\}\right\}$$

Maple: cpu = 0.156 (sec), leaf count = 22 $$\{\mathit{\_}\mathit{C}\mathit{1}-\frac{3x^2}{2}-\sqrt{x^3-6y\left(x\right)}=0\}$$