3.644   ODE No. 644

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-1/2x^2(ax-2\sqrt{a(a{x}^4+8y\left(x\right))})=0}}$$

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

Mathematica: cpu = 0.274535 (sec), leaf count = 34 $$\left\{\{y(x)\to \frac{1}{72}a(-96c_1{x}^3+144c_1^2+16x^6-9x^4)\}\right\}$$

Maple: cpu = 0.265 (sec), leaf count = 27 $$\{\mathit{\_}\mathit{C}\mathit{1}+\frac{4a{x}^3}{3}-\sqrt{a(a{x}^4+8y\left(x\right))}=0\}$$