\[ x^2 y^{(4)}(x)+8 x y^{(3)}(x)+12 y''(x)=0 \] ✓ Mathematica : cpu = 0.0090727 (sec), leaf count = 30
DSolve[12*Derivative[2][y][x] + 8*x*Derivative[3][y][x] + x^2*Derivative[4][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{6} \left (\frac {c_1}{x^2}+\frac {3 c_2}{x}\right )+c_4 x+c_3\right \}\right \}\] ✓ Maple : cpu = 0.014 (sec), leaf count = 19
dsolve(x^2*diff(diff(diff(diff(y(x),x),x),x),x)+8*x*diff(diff(diff(y(x),x),x),x)+12*diff(diff(y(x),x),x)=0,y(x))
\[y \left (x \right ) = c_{1}+\frac {c_{2}}{x}+x c_{3}+\frac {c_{4}}{x^{2}}\]