\[ a y(x)+y'(x)+2 x y''(x)=0 \] ✓ Mathematica : cpu = 0.0091799 (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 = 0.081 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sin \left ( \sqrt {x}\sqrt {2}\sqrt {a} \right ) +{\it \_C2}\,\cos \left ( \sqrt {x}\sqrt {2}\sqrt {a} \right ) \right \} \]