\[ 4 x^2 y^{(3)}(x)+\left (x^2+14 x-1\right ) y''(x)+4 (x+1) y'(x)+2 y(x)=0 \] ✓ Mathematica : cpu = 501.89 (sec), leaf count = 318
\[\left \{\left \{y(x)\to -\frac {c_2 e^{-\frac {x}{4}-\frac {1}{4 x}} \left (-71 \sqrt {e \pi } x^{5/2} \text {erfi}\left (\frac {1-x}{2 \sqrt {x}}\right )-193 \sqrt {\frac {\pi }{e}} x^{5/2} \text {erfi}\left (\frac {x+1}{2 \sqrt {x}}\right )+193 i \sqrt {e \pi } x^{5/2}-193 i \sqrt {\frac {\pi }{e}} x^{5/2}+244 e^{\frac {x}{4}+\frac {1}{4 x}} x^2-40 e^{\frac {x}{4}+\frac {1}{4 x}} x+4 e^{\frac {x}{4}+\frac {1}{4 x}}\right )}{x^2}+\frac {1}{5} c_3 e^{-\frac {x}{4}-\frac {1}{4 x}} \sqrt {x} \left (\sqrt {e \pi } \text {erfi}\left (\frac {1-x}{2 \sqrt {x}}\right )-3 \sqrt {\frac {\pi }{e}} \text {erfi}\left (\frac {x+1}{2 \sqrt {x}}\right )+4 e^{\frac {x}{4}+\frac {1}{4 x}} \sqrt {x}+3 i \sqrt {e \pi }-3 i \sqrt {\frac {\pi }{e}}\right )+c_1 e^{-\frac {x^2+1}{4 x}} \sqrt {x}\right \}\right \}\] ✓ Maple : cpu = 0.072 (sec), leaf count = 43
\[ \left \{ y \left ( x \right ) = \left ( {\it \_C3}+\int \!{\frac {2\,{\it \_C1}\,x+{\it \_C2}}{4}{{\rm e}^{{\frac {x}{4}}}}{{\rm e}^{{\frac {1}{4\,x}}}}{x}^{-{\frac {5}{2}}}}\,{\rm d}x \right ) {{\rm e}^{-{\frac {x}{4}}}}\sqrt {x}{{\rm e}^{-{\frac {1}{4\,x}}}} \right \} \]