\[ a y(x)+x y''(x)-2 y'(x)=0 \] ✓ Mathematica : cpu = 0.0197573 (sec), leaf count = 64
DSolve[a*y[x] - 2*Derivative[1][y][x] + x*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to 6 a^{3/2} c_1 x^{3/2} J_3\left (2 \sqrt {a} \sqrt {x}\right )-2 i a^{3/2} c_2 x^{3/2} Y_3\left (2 \sqrt {a} \sqrt {x}\right )\right \}\right \}\] ✓ Maple : cpu = 0.009 (sec), leaf count = 33
dsolve(x*diff(diff(y(x),x),x)-2*diff(y(x),x)+a*y(x)=0,y(x))
\[y \left (x \right ) = x^{\frac {3}{2}} \left (\BesselY \left (3, 2 \sqrt {a}\, \sqrt {x}\right ) c_{2}+\BesselJ \left (3, 2 \sqrt {a}\, \sqrt {x}\right ) c_{1}\right )\]