ODE No. 682

\[ y'(x)=\frac {2 a}{x \left (-8 a^2+2 a x y(x)^2-x y(x)\right )} \] Mathematica : cpu = 0.294872 (sec), leaf count = 39

DSolve[Derivative[1][y][x] == (2*a)/(x*(-8*a^2 - x*y[x] + 2*a*x*y[x]^2)),y[x],x]
 

\[\text {Solve}\left [\frac {y(x)^2 e^{-4 a y(x)}}{8 a}-\frac {e^{-4 a y(x)}}{2 x}=c_1,y(x)\right ]\] Maple : cpu = 0.475 (sec), leaf count = 28

dsolve(diff(y(x),x) = 2*a/x/(-x*y(x)+2*a*x*y(x)^2-8*a^2),y(x))
 

\[c_{1}+\frac {\left (-x y \left (x \right )^{2}+4 a \right ) {\mathrm e}^{-4 a y \left (x \right )}}{x} = 0\]