ODE No. 261

\[ \left (2 x^2 y(x)-x\right ) y'(x)-2 x y(x)^2-y(x)=0 \] Mathematica : cpu = 0.654662 (sec), leaf count = 32

DSolve[-y[x] - 2*x*y[x]^2 + (-x + 2*x^2*y[x])*Derivative[1][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to -\frac {1}{2 x W\left (\frac {e^{-1+\frac {9 c_1}{2^{2/3}}}}{x^2}\right )}\right \}\right \}\] Maple : cpu = 0.119 (sec), leaf count = 18

dsolve((2*x^2*y(x)-x)*diff(y(x),x)-2*x*y(x)^2-y(x) = 0,y(x))
 

\[y \left (x \right ) = -\frac {1}{2 \LambertW \left (-\frac {c_{1}}{2 x^{2}}\right ) x}\]