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 = 0.0310767 (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 = 0.065 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-{\frac {x}{2}}}}{{\sl M}\left (-n,\,m,\,x\right )}+{\it \_C2}\,{{\rm e}^{-{\frac {x}{2}}}}{{\sl U}\left (-n,\,m,\,x\right )} \right \} \]