3.682   ODE No. 682

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

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

Mathematica: cpu = 0.091012 (sec), leaf count = 39 $$\text{Solve}[\frac{y(x{)}^2{e}^{-4ay(x)}}{8a}-\frac{e^{-4ay(x)}}{2x}=c_1,y(x)]$$

Maple: cpu = 0.218 (sec), leaf count = 28 $$\{\mathit{\_}\mathit{C}\mathit{1}+\frac{-x{\left(y\left(x\right)\right)}^2+4a}{{\mathrm{e}}^{4ay\left(x\right)}x}=0\}$$