\[ -a y(x)+x y''(x)-x y'(x)=0 \] ✓ Mathematica : cpu = 0.0248216 (sec), leaf count = 36
DSolve[-(a*y[x]) - x*Derivative[1][y][x] + x*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_2 G_{1,2}^{2,0}\left (-x\left |\begin {array}{c} 1-a \\ 0,1 \\\end {array}\right .\right )+c_1 x \operatorname {Hypergeometric1F1}(a+1,2,x)\right \}\right \}\] ✓ Maple : cpu = 0.038 (sec), leaf count = 23
dsolve(x*diff(diff(y(x),x),x)-x*diff(y(x),x)-a*y(x)=0,y(x))
\[y \left (x \right ) = x \left (\operatorname {KummerU}\left (a +1, 2, x\right ) c_{2}+\operatorname {KummerM}\left (a +1, 2, x\right ) c_{1}\right )\]