\[ -(a+x) y(x)-\left (x^2-2 x\right ) y'(x)+x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0142393 (sec), leaf count = 78
\[\left \{\left \{y(x)\to c_1 e^{\frac {1}{2} (x-\log (x))} J_{\frac {1}{2} \sqrt {4 a+1}}\left (-\frac {i x}{2}\right )+c_2 e^{\frac {1}{2} (x-\log (x))} Y_{\frac {1}{2} \sqrt {4 a+1}}\left (-\frac {i x}{2}\right )\right \}\right \}\] ✓ Maple : cpu = 0.235 (sec), leaf count = 43
\[ \left \{ y \left ( x \right ) ={{{\rm e}^{{\frac {x}{2}}}} \left ( {{\sl K}_{{\frac {1}{2}\sqrt {4\,a+1}}}\left ({\frac {x}{2}}\right )}{\it \_C2}+{{\sl I}_{{\frac {1}{2}\sqrt {4\,a+1}}}\left ({\frac {x}{2}}\right )}{\it \_C1} \right ) {\frac {1}{\sqrt {x}}}} \right \} \]