\[ 4 x^2 y''(x)-\left (4 x^2+12 x+3\right ) y(x)+8 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0409331 (sec), leaf count = 52
\[\left \{\left \{y(x)\to \frac {c_2 e^{-x} \left (4 e^{2 x} x^2 \text {Ei}(-2 x)+2 x-1\right )}{2 x^{3/2}}+c_1 e^x \sqrt {x}\right \}\right \}\]
✓ Maple : cpu = 0.055 (sec), leaf count = 40
\[ \left \{ y \left ( x \right ) ={(4\,{{\rm e}^{x}}{\it Ei} \left ( 1,2\,x \right ) {\it \_C2}\,{x}^{2}+ \left ( -2\,x+1 \right ) {\it \_C2}\,{{\rm e}^{-x}}+{\it \_C1}\,{x}^{2}{{\rm e}^{x}}){x}^{-{\frac {3}{2}}}} \right \} \]