\[ -y^{(4)}(x) (x (a A(5)-A(4))+A(5))-y^{(3)}(x) (x (a A(4)-A(3))+A(4))-(x (a A(3)-A(2))+A(3)) y''(x)-(x (a A(2)-A(1))+A(2)) y'(x)-x (a A(1)-A(0))-A(1)+x y^{(n)}(x)=0 \] ✗ Mathematica : cpu = 0 (sec), leaf count = 0 , crash
Kernel Crash
✗ Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol
\[ \left \{ y \left ( x \right ) =\int \!{\it DESol} \left ( \left \{ -{\frac { \left ( axA_{{2}}-xA_{{1}}+A_{{2}} \right ) {\it \_Y} \left ( x \right ) }{x}}-{\frac { \left ( axA_{{3}}-xA_{{2}}+A_{{3}} \right ) {\frac {\rm d}{{\rm d}x}}{\it \_Y} \left ( x \right ) }{x}}-{\frac { \left ( axA_{{4}}-xA_{{3}}+A_{{4}} \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}{\it \_Y} \left ( x \right ) }{x}}-{\frac { \left ( axA_{{5}}-xA_{{4}}+A_{{5}} \right ) {\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}{\it \_Y} \left ( x \right ) }{x}}+{\frac {{\rm d}^{4}}{{\rm d}{x}^{4}}}{\it \_Y} \left ( x \right ) -{\frac {axA_{{1}}-xA_{{0}}+A_{{1}}}{x}} \right \} , \left \{ {\it \_Y} \left ( x \right ) \right \} \right ) \,{\rm d}x+{\it \_C1} \right \} \]