\[ \left (4 x (n-m)+m (2 m-1)+2 x^2\right ) y'(x)-2 n (-2 m+2 x+1) y(x)-3 x (x-m) y''(x)+x^2 y^{(3)}(x)=0 \] ✓ Mathematica : cpu = 0.27341 (sec), leaf count = 43
\[\left \{\left \{y(x)\to c_2 U(-n,m,x) L_n^{m-1}(x)+c_1 U(-n,m,x)^2+c_3 L_n^{m-1}(x){}^2\right \}\right \}\] ✓ Maple : cpu = 0.285 (sec), leaf count = 39
\[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( {{\sl M}\left (-n,\,m,\,x\right )} \right ) ^{2}+{\it \_C2}\, \left ( {{\sl U}\left (-n,\,m,\,x\right )} \right ) ^{2}+{\it \_C3}\,{{\sl M}\left (-n,\,m,\,x\right )}{{\sl U}\left (-n,\,m,\,x\right )} \right \} \]