\[ a y(x)+2 x y''(x)-(x-1) y'(x)=0 \] ✓ Mathematica : cpu = 0.0097759 (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 = 0.176 (sec), leaf count = 33
\[\left \{y \left (x \right ) = \left (c_{1} \KummerM \left (-a +\frac {1}{2}, \frac {3}{2}, \frac {x}{2}\right )+c_{2} \KummerU \left (-a +\frac {1}{2}, \frac {3}{2}, \frac {x}{2}\right )\right ) \sqrt {x}\right \}\]