\[ a (b x-1) y''(x)+a b y'(x)+\lambda y(x)+y^{(4)}(x)=0 \] ✗ Mathematica : cpu = 0.295317 (sec), leaf count = 0
DSolve[lambda*y[x] + a*b*Derivative[1][y][x] + a*(-1 + b*x)*Derivative[2][y][x] + Derivative[4][y][x] == 0,y[x],x]
, DifferentialRoot result
\[\left \{\left \{y(x)\to (x)\right \}\right \}\]
✗ Maple : cpu = 0. (sec), leaf count = 0
dsolve(diff(diff(diff(diff(y(x),x),x),x),x)+a*(b*x-1)*diff(diff(y(x),x),x)+a*b*diff(y(x),x)+lambda*y(x)=0,y(x))
, result contains DESol or ODESolStruc
\[y \left (x \right ) = \mathit {DESol}\left (\left \{\lambda \textit {\_Y} \left (x \right )+a b \left (\frac {d}{d x}\textit {\_Y} \left (x \right )\right )+a \left (b x -1\right ) \left (\frac {d^{2}}{d x^{2}}\textit {\_Y} \left (x \right )\right )+\frac {d^{4}}{d x^{4}}\textit {\_Y} \left (x \right )\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\]