\[ x^4 y^{(4)}(x)+8 x^3 y^{(3)}(x)+12 x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.026351 (sec), leaf count = 27
\[\left \{\left \{y(x)\to \frac {3 c_2 x+c_1}{6 x^2}+c_4 x+c_3\right \}\right \}\]
✓ Maple : cpu = 0.019 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={\it \_C1}+{\frac {{\it \_C2}}{{x}^{2}}}+{\it \_C3}\,x+{\frac {{\it \_C4}}{x}} \right \} \]