3.628   ODE No. 628

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

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

Mathematica: cpu = 0.085511 (sec), leaf count = 33 $$\left\{\{y(x)\to \frac{1}{48}(-54c_1{x}^2+81c_1^2+9x^4-16x^2)\}\right\}$$

Maple: cpu = 0.156 (sec), leaf count = 23 $$\{\mathit{\_}\mathit{C}\mathit{1}+\frac{3x^2}{4}+\frac{2}{3}-\sqrt{x^2+3y\left(x\right)}=0\}$$