2.1138   ODE No. 1138

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

\[ y(x) (2 m+4 n-x)+4 m y'(x)+4 x y''(x)=0 \] Mathematica : cpu = 0.0218624 (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 = 0.177 (sec), leaf count = 26

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