\[ -(a+x) y(x)+x^2 y''(x)-\left (x^2-2 x\right ) y'(x)=0 \] ✓ Mathematica : cpu = 0.0205183 (sec), leaf count = 67
\[\left \{\left \{y(x)\to \frac {e^{x/2} \left (c_1 J_{\frac {1}{2} \sqrt {4 a+1}}\left (-\frac {i x}{2}\right )+c_2 Y_{\frac {1}{2} \sqrt {4 a+1}}\left (-\frac {i x}{2}\right )\right )}{\sqrt {x}}\right \}\right \}\]
✓ Maple : cpu = 0.046 (sec), leaf count = 43
\[ \left \{ y \left ( x \right ) ={1{{\rm e}^{{\frac {x}{2}}}} \left ( {{\sl K}_{{\frac {1}{2}\sqrt {4\,a+1}}}\left ({\frac {x}{2}}\right )}{\it \_C2}+{{\sl I}_{{\frac {1}{2}\sqrt {4\,a+1}}}\left ({\frac {x}{2}}\right )}{\it \_C1} \right ) {\frac {1}{\sqrt {x}}}} \right \} \]