\[ \boxed { 4\,{x}^{2}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) + \left ( {x}^{2}+14\,x-1 \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +4\, \left ( 1+x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\,y \left ( x \right ) =0} \]
Mathematica: cpu = 30.884422 (sec), leaf count = 208 \[ \left \{\left \{y(x)\to c_2 \left (-\sqrt {e \pi } \text {erfi}\left (\frac {x-1}{2 \sqrt {x}}\right )+3 \sqrt {\frac {\pi }{e}} \text {erfi}\left (\frac {x+1}{2 \sqrt {x}}\right )-3 \sqrt {\frac {\pi }{e}} \text {erfi}(1)-\frac {4 e^{\frac {x^2+1}{4 x}}}{\sqrt {x}}+4 \sqrt {e}\right ) e^{\frac {1}{4} \left (-x-\frac {1}{x}+2 \log (x)\right )}-\sqrt {\pi } c_3 \left (e \text {erfi}\left (\frac {1-x}{2 \sqrt {x}}\right )+\text {erfi}\left (\frac {x+1}{2 \sqrt {x}}\right )-i (e-1)\right ) e^{\frac {1}{4} \left (-x-\frac {1}{x}+2 \log (x)\right )-\frac {1}{2}}+c_1 e^{\frac {1}{4} \left (-x-\frac {1}{x}+2 \log (x)\right )}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 43 \[ \left \{ y \left ( x \right ) = \left ( {\it \_C3}+\int \!{\frac {2\,x{ \it \_C1}+{\it \_C2}}{4}{{\rm e}^{{\frac {x}{4}}}}{{\rm e}^{{\frac {1 }{4\,x}}}}{x}^{-{\frac {5}{2}}}}\,{\rm d}x \right ) {{\rm e}^{-{\frac { x}{4}}}}\sqrt {x}{{\rm e}^{-{\frac {1}{4\,x}}}} \right \} \]