\[ a y(x)+x y''(x)+y'(x)=0 \] ✓ Mathematica : cpu = 0.0130877 (sec), leaf count = 41
DSolve[a*y[x] + Derivative[1][y][x] + x*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 \operatorname {BesselJ}\left (0,2 \sqrt {a} \sqrt {x}\right )+2 c_2 \operatorname {BesselY}\left (0,2 \sqrt {a} \sqrt {x}\right )\right \}\right \}\] ✓ Maple : cpu = 0.01 (sec), leaf count = 29
dsolve(x*diff(diff(y(x),x),x)+diff(y(x),x)+a*y(x)=0,y(x))
\[y \left (x \right ) = \operatorname {BesselJ}\left (0, 2 \sqrt {a}\, \sqrt {x}\right ) c_{1}+c_{2} \operatorname {BesselY}\left (0, 2 \sqrt {a}\, \sqrt {x}\right )\]