\[ 6 y'(x) (a k+b x)+3 (2 a x+k) y''(x)+y(x) (3 b k+2 c x)+2 x y^{(3)}(x)=0 \] ✗ Mathematica : cpu = 61.7903 (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
\[y \relax (x ) = \mathit {DESol}\left (\left \{\left (3 b k +2 c x \right ) \textit {\_Y} \relax (x )+\left (6 a k +6 b x \right ) \left (\frac {d}{d x}\textit {\_Y} \relax (x )\right )+\left (6 a x +3 k \right ) \left (\frac {d^{2}}{d x^{2}}\textit {\_Y} \relax (x )\right )+2 x \left (\frac {d^{3}}{d x^{3}}\textit {\_Y} \relax (x )\right )\right \}, \left \{\textit {\_Y} \relax (x )\right \}\right )\]