\[ a y(x)+2 x y''(x)+y'(x)=0 \] ✓ Mathematica : cpu = 0.0119579 (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 = 0.016 (sec), leaf count = 31
\[\left \{y \left (x \right ) = c_{1} \sin \left (\sqrt {2}\, \sqrt {a}\, \sqrt {x}\right )+c_{2} \cos \left (\sqrt {2}\, \sqrt {a}\, \sqrt {x}\right )\right \}\]