2.256   ODE No. 256

\[ x^2 (y(x)-1) y'(x)+(x-1) y(x)=0 \] Mathematica : cpu = 0.0313338 (sec), leaf count = 21


\[\left \{\left \{y(x)\to -W\left (x \left (-e^{\frac {1}{x}-c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.133 (sec), leaf count = 31


\[y \relax (x ) = {\mathrm e}^{\frac {c_{1} x +x \ln \relax (x )-\LambertW \left (-x \,{\mathrm e}^{c_{1}+\frac {1}{x}}\right ) x +1}{x}}\]