\[ a y(x)+2 x y''(x)-(2 x-1) y'(x)=0 \] ✓ Mathematica : cpu = 0.0084256 (sec), leaf count = 48
DSolve[a*y[x] - (-1 + 2*x)*Derivative[1][y][x] + 2*x*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 \sqrt {x} U\left (\frac {1-a}{2},\frac {3}{2},x\right )+c_2 \sqrt {x} L_{\frac {a-1}{2}}^{\frac {1}{2}}(x)\right \}\right \}\] ✓ Maple : cpu = 0.079 (sec), leaf count = 29
dsolve(2*x*diff(diff(y(x),x),x)-(2*x-1)*diff(y(x),x)+a*y(x)=0,y(x))
\[y \left (x \right ) = \sqrt {x}\, \left (\KummerU \left (-\frac {a}{2}+\frac {1}{2}, \frac {3}{2}, x\right ) c_{2}+\KummerM \left (-\frac {a}{2}+\frac {1}{2}, \frac {3}{2}, x\right ) c_{1}\right )\]