4.111   ODE No. 1111

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

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

Mathematica: cpu = 0.017502 (sec), leaf count = 20 \[ \left \{\left \{y(x)\to c_1 e^x+c_2 (-x-1)\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 14 \[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( 1+x \right ) +{\it \_C2}\,{{\rm e}^{x}} \right \} \]