\[ \boxed { {x}^{2}{\it d4y} \left ( x \right ) +8\,x{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) +12\,{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) =0} \]
Mathematica: cpu = 0.020002 (sec), leaf count = 30 \[ \left \{\left \{y(x)\to \frac {1}{6} \left (\frac {c_1}{x^2}+\frac {3 c_2}{x}\right )+c_4 x+c_3\right \}\right \} \]
Maple: cpu = 0.015 (sec), leaf count = 19 \[ \left \{ y \left ( x \right ) ={\it \_C1}+{\frac {{\it \_C2}}{x}}+{ \frac {{\it \_C3}}{{x}^{2}}}+{\it \_C4}\,x \right \} \]