2.682   ODE No. 682

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

$$y^{\prime }(x)=\frac{2a}{x(-8a^2+2axy(x{)}^2-xy(x))}$$ ✓ Mathematica : cpu = 0.232475 (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 = 0.367 (sec), leaf count = 28

$$\{\mathit{\_}\mathit{C}\mathit{1}+\frac{-x{\left(y\left(x\right)\right)}^2+4a}{{\mathrm{e}}^{4ay\left(x\right)}x}=0\}$$