2.255   ODE No. 255

\[ x (x y(x)-3) y'(x)+x y(x)^2-y(x)=0 \] Mathematica : cpu = 5.02468 (sec), leaf count = 30


\[\left \{\left \{y(x)\to -\frac {3 W\left (e^{-1+\frac {9 c_1}{2^{2/3}}} x^{2/3}\right )}{x}\right \}\right \}\] Maple : cpu = 0.194 (sec), leaf count = 74


\[y \relax (x ) = -\frac {3 \LambertW \left (\frac {2 \left (-\frac {x^{2}}{8}\right )^{\frac {1}{3}} c_{1}}{3}\right )}{x}\]