\[ a y(x)+2 x y''(x)-(2 x-1) y'(x)=0 \] ✓ Mathematica : cpu = 0.0120772 (sec), leaf count = 44
\[\left \{\left \{y(x)\to \sqrt {x} \left (c_1 U\left (\frac {1-a}{2},\frac {3}{2},x\right )+c_2 L_{\frac {a-1}{2}}^{\frac {1}{2}}(x)\right )\right \}\right \}\]
✓ Maple : cpu = 0.072 (sec), leaf count = 29
\[ \left \{ y \left ( x \right ) =\sqrt {x} \left ( {{\sl U}\left (-{\frac {a}{2}}+{\frac {1}{2}},\,{\frac {3}{2}},\,x\right )}{\it \_C2}+{{\sl M}\left (-{\frac {a}{2}}+{\frac {1}{2}},\,{\frac {3}{2}},\,x\right )}{\it \_C1} \right ) \right \} \]