2.261   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


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


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