\[ a y(x)+2 x y''(x)-(x-1) y'(x)=0 \] ✓ Mathematica : cpu = 0.0112135 (sec), leaf count = 48
\[\left \{\left \{y(x)\to \sqrt {x} \left (c_1 U\left (\frac {1}{2}-a,\frac {3}{2},\frac {x}{2}\right )+c_2 L_{a-\frac {1}{2}}^{\frac {1}{2}}\left (\frac {x}{2}\right )\right )\right \}\right \}\]
✓ Maple : cpu = 0.155 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) =\sqrt {x} \left ( {{\sl U}\left (-a+{\frac {1}{2}},\,{\frac {3}{2}},\,{\frac {x}{2}}\right )}{\it \_C2}+{{\sl M}\left (-a+{\frac {1}{2}},\,{\frac {3}{2}},\,{\frac {x}{2}}\right )}{\it \_C1} \right ) \right \} \]