\[ a y(x)-(x-1) y'(x)+2 x y''(x)=0 \] ✓ Mathematica : cpu = 0.0095743 (sec), leaf count = 58
\[\left \{\left \{y(x)\to c_1 \sqrt {x} U\left (\frac {1}{2} (1-2 a),\frac {3}{2},\frac {x}{2}\right )+c_2 \sqrt {x} L_{\frac {1}{2} (2 a-1)}^{\frac {1}{2}}\left (\frac {x}{2}\right )\right \}\right \}\] ✓ Maple : cpu = 0.425 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) =\sqrt {x} \left ( {{\sl U}\left (-a+{\frac {1}{2}},\,{\frac {3}{2}},\,{\frac {x}{2}}\right )}{\it \_C2}+{{\sl M}\left (-a+{\frac {1}{2}},\,{\frac {3}{2}},\,{\frac {x}{2}}\right )}{\it \_C1} \right ) \right \} \]