\[ y(x) (-(-2 m-4 n+x))+4 m y'(x)+4 x y''(x)=0 \] ✓ Mathematica : cpu = 0.0326926 (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 = 0.134 (sec), leaf count = 26
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\frac {x}{2}}}} \left ( {{\sl U}\left (-n,\,m,\,x\right )}{\it \_C2}+{{\sl M}\left (-n,\,m,\,x\right )}{\it \_C1} \right ) \right \} \]