3.256   ODE No. 256

\[ \boxed { {x}^{2} \left ( -1+y \left ( x \right ) \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( x-1 \right ) y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.019502 (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 = 0.047 (sec), leaf count = 31 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {x\ln \left ( x \right ) -{\it lambertW} \left ( -x{{\rm e}^{{\it \_C1}+{x}^{-1}}} \right ) x+{ \it \_C1}\,x+1}{x}}}} \right \} \]