\[ a (b x-1) y''(x)+a b y'(x)+\lambda y(x)+y^{(4)}(x)=0 \] ✗ Mathematica : cpu = 0.33144 (sec), leaf count = 0 , DifferentialRoot result
\[\left \{\left \{y(x)\to (x)\right \}\right \}\]
✗ Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol
\[\{y \left (x \right ) = \mathit {DESol}\left (\left \{a b \left (\frac {d}{d x}\textit {\_Y} \left (x \right )\right )+\left (b x -1\right ) a \left (\frac {d^{2}}{d x^{2}}\textit {\_Y} \left (x \right )\right )+\lambda \textit {\_Y} \left (x \right )+\frac {d^{4}}{d x^{4}}\textit {\_Y} \left (x \right )\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\}\]