\[ \left (4 a^2 x^2+1\right ) y(x)+4 x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0089455 (sec), leaf count = 32
\[\left \{\left \{y(x)\to c_1 \sqrt {x} J_0(a x)+c_2 \sqrt {x} Y_0(a x)\right \}\right \}\] ✓ Maple : cpu = 0.034 (sec), leaf count = 23
\[y \relax (x ) = \sqrt {x}\, \left (\BesselY \left (0, a x \right ) c_{2}+\BesselJ \left (0, a x \right ) c_{1}\right )\]