\[ x^2 y^{(4)}(x)+6 y''(x)+6 x y^{(3)}(x)=0 \] ✓ Mathematica : cpu = 0.0079512 (sec), leaf count = 29
\[\left \{\left \{y(x)\to c_4 x+\frac {1}{2} \left (\frac {c_1}{x}-2 c_2 \log (x)\right )+c_3\right \}\right \}\] ✓ Maple : cpu = 0.011 (sec), leaf count = 18
\[ \left \{ y \left ( x \right ) ={\it \_C1}+{\it \_C2}\,\ln \left ( x \right ) +{\frac {{\it \_C3}}{x}}+{\it \_C4}\,x \right \} \]