\[ \boxed { {x}^{2}{\it d4y} \left ( x \right ) +8\,x{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) +12\,{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -{\lambda }^{2}y \left ( x \right ) =0} \]
Mathematica: cpu = 0.063008 (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 = 0.047 (sec), leaf count = 69 \[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{x}{{\sl J}_{2}\left (2 \,\sqrt {\lambda }\sqrt {x}\right )}}+{\frac {{\it \_C2}}{x}{{\sl Y}_{2 }\left (2\,\sqrt {\lambda }\sqrt {x}\right )}}+{\frac {{\it \_C3}}{x}{ {\sl J}_{2}\left (2\,\sqrt {-\lambda }\sqrt {x}\right )}}+{\frac {{\it \_C4}}{x}{{\sl Y}_{2}\left (2\,\sqrt {-\lambda }\sqrt {x}\right )}} \right \} \]