\[ a y(x)+2 x y''(x)-(x-1) y'(x)=0 \] ✓ Mathematica : cpu = 0.008519 (sec), leaf count = 58
DSolve[a*y[x] - (-1 + x)*Derivative[1][y][x] + 2*x*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 \sqrt {x} U\left (\frac {1}{2} (1-2 a),\frac {3}{2},\frac {x}{2}\right )+c_2 \sqrt {x} L_{\frac {1}{2} (2 a-1)}^{\frac {1}{2}}\left (\frac {x}{2}\right )\right \}\right \}\] ✓ Maple : cpu = 0.078 (sec), leaf count = 33
dsolve(2*x*diff(diff(y(x),x),x)-(x-1)*diff(y(x),x)+a*y(x)=0,y(x))
\[y \left (x \right ) = \sqrt {x}\, \left (\KummerU \left (-a +\frac {1}{2}, \frac {3}{2}, \frac {x}{2}\right ) c_{2}+\KummerM \left (-a +\frac {1}{2}, \frac {3}{2}, \frac {x}{2}\right ) c_{1}\right )\]