2.1116   ODE No. 1116

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

\[ y'(x) (a x+b+n)+a n y(x)+x y''(x)=0 \] Mathematica : cpu = 0.0486651 (sec), leaf count = 43

\[\left \{\left \{y(x)\to c_1 e^{-a x} U(b,b+n,a x)+c_2 e^{-a x} L_{-b}^{b+n-1}(a x)\right \}\right \}\] Maple : cpu = 0.204 (sec), leaf count = 31

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