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 = 0.0174098 (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 = 0.046 (sec), leaf count = 31

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{\it \_C1}\,x+x\ln \left ( x \right ) -{\it lambertW} \left ( -x{{\rm e}^{{\it \_C1}+{x}^{-1}}} \right ) x+1}{x}}}} \right \} \]