\[ \boxed { {x}^{2}{\it d4y} \left ( x \right ) +6\,x{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) +6\,{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) =0} \]
Mathematica: cpu = 0.021503 (sec), leaf count = 29 \[ \left \{\left \{y(x)\to c_4 x+\frac {1}{2} \left (\frac {c_2}{x}-2 c_1 \log (x)\right )+c_3\right \}\right \} \]
Maple: cpu = 0.0 (sec), leaf count = 18 \[ \left \{ y \left ( x \right ) ={\it \_C1}+{\it \_C2}\,\ln \left ( x \right ) +{\frac {{\it \_C3}}{x}}+{\it \_C4}\,x \right \} \]