\[ x y'(x) \left ((2 a-1) \text {C0}+4 b^2 \text {B0} c^2 x^{2 c}\right )+(6-4 a) x^3 y^{(3)}(x)+x^2 y''(x) \left (\text {A0}+4 b^2 c^2 x^{2 c}\right )+y(x) \left (4 b^2 c^2 \text {D0} x^{2 c}+\text {E0}\right )+x^4 y^{(4)}(x)=0 \] ✗ Mathematica : cpu = 301.027 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.505 (sec), leaf count = 81
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{a}{{\sl J}_{\mu }\left ({x}^{c}b\right )}{{\sl J}_{\nu }\left ({x}^{c}b\right )}+{\it \_C2}\,{x}^{a}{{\sl J}_{\mu }\left ({x}^{c}b\right )}{{\sl Y}_{\nu }\left ({x}^{c}b\right )}+{\it \_C3}\,{x}^{a}{{\sl Y}_{\mu }\left ({x}^{c}b\right )}{{\sl J}_{\nu }\left ({x}^{c}b\right )}+{\it \_C4}\,{x}^{a}{{\sl Y}_{\nu }\left ({x}^{c}b\right )}{{\sl Y}_{\mu }\left ({x}^{c}b\right )} \right \} \]