\[ \lambda ^2 (-y(x))+x^2 y^{(4)}(x)+8 x y^{(3)}(x)+12 y''(x)=0 \] ✓ Mathematica : cpu = 0.0639379 (sec), leaf count = 146
\[\left \{\left \{y(x)\to c_4 G_{0,4}^{2,0}\left (\frac {\lambda ^2 x^2}{16}|\begin {array}{c} -1,0,-\frac {1}{2},\frac {1}{2} \\\end {array}\right )+c_2 G_{0,4}^{2,0}\left (\frac {\lambda ^2 x^2}{16}|\begin {array}{c} -\frac {1}{2},\frac {1}{2},-1,0 \\\end {array}\right )-\frac {3 i c_1 \left (I_2\left (2 \sqrt {\lambda } \sqrt {x}\right )-J_2\left (2 \sqrt {\lambda } \sqrt {x}\right )\right )}{4 \lambda x}-\frac {c_3 \left (J_2\left (2 \sqrt {\lambda } \sqrt {x}\right )+I_2\left (2 \sqrt {\lambda } \sqrt {x}\right )\right )}{\lambda x}\right \}\right \}\]
✓ Maple : cpu = 0.124 (sec), leaf count = 69
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{x}{{\sl J}_{2}\left (2\,\sqrt {\lambda }\sqrt {x}\right )}}+{\frac {{\it \_C2}}{x}{{\sl Y}_{2}\left (2\,\sqrt {\lambda }\sqrt {x}\right )}}+{\frac {{\it \_C3}}{x}{{\sl J}_{2}\left (2\,\sqrt {-\lambda }\sqrt {x}\right )}}+{\frac {{\it \_C4}}{x}{{\sl Y}_{2}\left (2\,\sqrt {-\lambda }\sqrt {x}\right )}} \right \} \]