2.256   ODE No. 256

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ x^2 (y(x)-1) y'(x)+(x-1) y(x)=0 \] Mathematica : cpu = 0.0334352 (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 = 0.154 (sec), leaf count = 31

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