\[ x^2 y^{(4)}(x)+12 y''(x)+8 x y^{(3)}(x)=0 \] ✓ Mathematica : cpu = 0.008471 (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 = 0.012 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={\it \_C1}+{\frac {{\it \_C2}}{{x}^{2}}}+{\frac {{\it \_C3}}{x}}+{\it \_C4}\,x \right \} \]