\[ x^4 y^{(4)}(x)+8 x^3 y^{(3)}(x)+12 x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0204715 (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 = 0.019 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={\it \_C1}+{\frac {{\it \_C2}}{x}}+{\frac {{\it \_C3}}{{x}^{2}}}+{\it \_C4}\,x \right \} \]