2.1108   ODE No. 1108

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

\[ (a+b+x) y'(x)+a y(x)+x y''(x)=0 \] Mathematica : cpu = 0.0385918 (sec), leaf count = 37

\[\left \{\left \{y(x)\to c_1 e^{-x} U(b,a+b,x)+c_2 e^{-x} L_{-b}^{a+b-1}(x)\right \}\right \}\]

Maple : cpu = 0.078 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-x}}{{\sl M}\left (b,\,a+b,\,x\right )}+{\it \_C2}\,{{\rm e}^{-x}}{{\sl U}\left (b,\,a+b,\,x\right )} \right \} \]