2.1138   ODE No. 1138

\[ y(x) (2 m+4 n-x)+4 m y'(x)+4 x y''(x)=0 \] Mathematica : cpu = 0.0204381 (sec), leaf count = 38


\[\left \{\left \{y(x)\to c_1 e^{-x/2} U(-n,m,x)+c_2 e^{-x/2} L_n^{m-1}(x)\right \}\right \}\] Maple : cpu = 0.067 (sec), leaf count = 26


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