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