4.251   ODE No. 1251

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

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

Mathematica: cpu = 0.035005 (sec), leaf count = 25 \[ \left \{\left \{y(x)\to c_1 (x-1)+c_2 (x \log (x)-\log (x)-4)\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 20 \[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( x-1 \right ) +{\it \_C2}\, \left ( -4+ \left ( x-1 \right ) \ln \left ( x \right ) \right ) \right \} \]