\[ y''(x) \left (a x^2+b \lambda +c\right )+y(x) \left (a x^2+\beta \lambda +\gamma \right )+y^{(4)}(x)=0 \] ✗ Mathematica : cpu = 80.164 (sec), leaf count = 0
DSolve[(EulerGamma + beta*lambda + a*x^2)*y[x] + (c + b*lambda + a*x^2)*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*x^2+b*lambda+c)*diff(diff(y(x),x),x)+(a*x^2+beta*lambda+gamma)*y(x)=0,y(x))
, result contains DESol or ODESolStruc
\[y \left (x \right ) = \mathit {DESol}\left (\left \{\left (a \,x^{2}+\beta \lambda +\gamma \right ) \textit {\_Y} \left (x \right )+\left (a \,x^{2}+b \lambda +c \right ) \left (\frac {d^{2}}{d x^{2}}\textit {\_Y} \left (x \right )\right )+\frac {d^{4}}{d x^{4}}\textit {\_Y} \left (x \right )\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\]