4.112   ODE No. 1112

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

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

Mathematica: cpu = 0.025003 (sec), leaf count = 30 \[ \left \{\left \{y(x)\to c_1 e^{2 x}-\frac {1}{9} c_2 e^{-x} (3 x+1)\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 22 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{2\,x}}+{\it \_C2}\, {{\rm e}^{-x}} \left ( 3\,x+1 \right ) \right \} \]