\[ \left (x^2+14 x-1\right ) y''(x)+4 x^2 y^{(3)}(x)+4 (x+1) y'(x)+2 y(x)=0 \] ✓ Mathematica : cpu = 0.271512 (sec), leaf count = 150
\[\left \{\left \{y(x)\to c_2 e^{\frac {1}{4} \left (-x-\frac {1}{x}+2 \log (x)\right )} \int _1^xe^{\frac {K[1]^2-10 \log (K[1]) K[1]+1}{4 K[1]}}dK[1]-\sqrt {\pi } c_3 \left (e \text {erfi}\left (\frac {1-x}{2 \sqrt {x}}\right )+\text {erfi}\left (\frac {x+1}{2 \sqrt {x}}\right )-i (e-1)\right ) e^{\frac {1}{4} \left (-x-\frac {1}{x}+2 \log (x)\right )-\frac {1}{2}}+c_1 e^{\frac {1}{4} \left (-x-\frac {1}{x}+2 \log (x)\right )}\right \}\right \}\] ✓ Maple : cpu = 0.521 (sec), leaf count = 43
\[ \left \{ y \left ( x \right ) = \left ( {\it \_C3}+\int \!{\frac {2\,{\it \_C1}\,x+{\it \_C2}}{4}{{\rm e}^{{\frac {x}{4}}}}{{\rm e}^{{\frac {1}{4\,x}}}}{x}^{-{\frac {5}{2}}}}\,{\rm d}x \right ) {{\rm e}^{-{\frac {x}{4}}}}{{\rm e}^{-{\frac {1}{4\,x}}}}\sqrt {x} \right \} \]