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 = 0.0264551 (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 = 0.183 (sec), leaf count = 26

\[\{y \left (x \right ) = \left (c_{1} \KummerM \left (b , a +b , x\right )+c_{2} \KummerU \left (b , a +b , x\right )\right ) {\mathrm e}^{-x}\}\]