\[ a y(x)+2 x y''(x)-(2 x-1) y'(x)=0 \] ✓ Mathematica : cpu = 0.0123191 (sec), leaf count = 48
\[\left \{\left \{y(x)\to c_1 \sqrt {x} U\left (\frac {1-a}{2},\frac {3}{2},x\right )+c_2 \sqrt {x} L_{\frac {a-1}{2}}^{\frac {1}{2}}(x)\right \}\right \}\]
✓ Maple : cpu = 0.076 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt {x}{{\sl M}\left ({\frac {1}{2}}-{\frac {a}{2}},\,{\frac {3}{2}},\,x\right )}+{\it \_C2}\,\sqrt {x}{{\sl U}\left ({\frac {1}{2}}-{\frac {a}{2}},\,{\frac {3}{2}},\,x\right )} \right \} \]