\[ 4 x^2 y''(x)+\left (-4 x^2-12 x-3\right ) y(x)+8 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0426504 (sec), leaf count = 52
DSolve[(-3 - 12*x - 4*x^2)*y[x] + 8*x*Derivative[1][y][x] + 4*x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {c_2 e^{-x} \left (4 e^{2 x} x^2 \text {Ei}(-2 x)+2 x-1\right )}{2 x^{3/2}}+c_1 e^x \sqrt {x}\right \}\right \}\] ✓ Maple : cpu = 0.048 (sec), leaf count = 40
dsolve(4*x^2*diff(diff(y(x),x),x)+8*x*diff(y(x),x)-(4*x^2+12*x+3)*y(x)=0,y(x))
\[y \left (x \right ) = \frac {-4 \Ei \left (1, 2 x \right ) {\mathrm e}^{x} c_{2} x^{2}+c_{2} \left (2 x -1\right ) {\mathrm e}^{-x}+c_{1} x^{2} {\mathrm e}^{x}}{x^{\frac {3}{2}}}\]