2.1107   ODE No. 1107

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

\[ a y(x)+(b+x) y'(x)+x y''(x)=0 \] Mathematica : cpu = 0.0226922 (sec), leaf count = 40

\[\left \{\left \{y(x)\to c_1 e^{-x} U(b-a,b,x)+c_2 e^{-x} L_{a-b}^{b-1}(x)\right \}\right \}\] Maple : cpu = 0.323 (sec), leaf count = 30

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