\[ x y'(x) \left ((2 a-1) \text {C0}+4 b^2 \text {B0} c^2 x^{2 c}\right )+(6-4 a) x^3 y^{(3)}(x)+x^2 y''(x) \left (\text {A0}+4 b^2 c^2 x^{2 c}\right )+y(x) \left (4 b^2 c^2 \text {D0} x^{2 c}+\text {E0}\right )+x^4 y^{(4)}(x)=0 \] ✗ Mathematica : cpu = 3605.13 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.524 (sec), leaf count = 63
\[ \left \{ y \left ( x \right ) = \left ( \left ( {{\sl J}_{\mu }\left (b{x}^{c}\right )}{\it \_C2}+{{\sl Y}_{\mu }\left (b{x}^{c}\right )}{\it \_C3} \right ) {{\sl J}_{\nu }\left (b{x}^{c}\right )}+{{\sl Y}_{\nu }\left (b{x}^{c}\right )} \left ( {\it \_C4}\,{{\sl Y}_{\mu }\left (b{x}^{c}\right )}+{\it \_C1}\,{{\sl J}_{\mu }\left (b{x}^{c}\right )} \right ) \right ) {x}^{a} \right \} \]