2.1116   ODE No. 1116

\[ y'(x) (a x+b+n)+a n y(x)+x y''(x)=0 \] Mathematica : cpu = 0.0396758 (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 = 0.082 (sec), leaf count = 31


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