\[ a y(x)+2 x y''(x)+y'(x)=0 \] ✓ Mathematica : cpu = 0.0090178 (sec), leaf count = 46
DSolve[a*y[x] + Derivative[1][y][x] + 2*x*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 \cos \left (\sqrt {2} \sqrt {a} \sqrt {x}\right )+c_2 \sin \left (\sqrt {2} \sqrt {a} \sqrt {x}\right )\right \}\right \}\] ✓ Maple : cpu = 0.019 (sec), leaf count = 31
dsolve(2*x*diff(diff(y(x),x),x)+diff(y(x),x)+a*y(x)=0,y(x))
\[y \left (x \right ) = c_{1} \sin \left (\sqrt {x}\, \sqrt {2}\, \sqrt {a}\right )+c_{2} \cos \left (\sqrt {x}\, \sqrt {2}\, \sqrt {a}\right )\]