\[ -y^{(4)}(x) (x (a A(5)-A(4))+A(5))-y^{(3)}(x) (x (a A(4)-A(3))+A(4))-(x (a A(3)-A(2))+A(3)) y''(x)-(x (a A(2)-A(1))+A(2)) y'(x)-x (a A(1)-A(0))-A(1)+x y^{(5)}(x)=0 \] ✗ Mathematica : cpu = 82.7583 (sec), leaf count = 0
, DifferentialRoot result
\[\left \{\left \{y(x)\to (x)\right \}\right \}\]
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \int \mathit {DESol}\left (\left \{-\frac {\left (a x A_{2}-x A_{1}+A_{2}\right ) \textit {\_Y} \relax (x )}{x}-\frac {\left (a x A_{3}-x A_{2}+A_{3}\right ) \left (\frac {d}{d x}\textit {\_Y} \relax (x )\right )}{x}-\frac {\left (a x A_{4}-x A_{3}+A_{4}\right ) \left (\frac {d^{2}}{d x^{2}}\textit {\_Y} \relax (x )\right )}{x}-\frac {\left (a x A_{5}-x A_{4}+A_{5}\right ) \left (\frac {d^{3}}{d x^{3}}\textit {\_Y} \relax (x )\right )}{x}+\frac {d^{4}}{d x^{4}}\textit {\_Y} \relax (x )-\frac {a x A_{1}-x A_{0}+A_{1}}{x}\right \}, \left \{\textit {\_Y} \relax (x )\right \}\right )d x +c_{1}\]