\[ 4 x^3 y'(x)+4 x^2 y''(x)+\left (x^2-4\right ) \left (x^2+6\right ) y(x)=0 \] ✓ Mathematica : cpu = 0.015777 (sec), leaf count = 39
DSolve[(-4 + x^2)*(6 + x^2)*y[x] + 4*x^3*Derivative[1][y][x] + 4*x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {c_1 e^{-\frac {x^2}{4}}}{x^2}+\frac {1}{5} c_2 e^{-\frac {x^2}{4}} x^3\right \}\right \}\] ✓ Maple : cpu = 0.034 (sec), leaf count = 21
dsolve(4*x^2*diff(diff(y(x),x),x)+4*x^3*diff(y(x),x)+(x^2+6)*(x^2-4)*y(x)=0,y(x))
\[y \left (x \right ) = \frac {{\mathrm e}^{-\frac {x^{2}}{4}} \left (x^{5} c_{2}+c_{1}\right )}{x^{2}}\]