\[ 16 x^2 y''(x)+(4 x+3) y(x)=0 \] ✓ Mathematica : cpu = 0.0378675 (sec), leaf count = 43
\[\left \{\left \{y(x)\to e^{-i \sqrt {x}} \sqrt [4]{x} \left (c_1 e^{2 i \sqrt {x}}+i c_2\right )\right \}\right \}\]
✓ Maple : cpu = 0.038 (sec), leaf count = 21
\[ \left \{ y \left ( x \right ) =\sqrt [4]{x} \left ( \cos \left ( \sqrt {x} \right ) {\it \_C2}+\sin \left ( \sqrt {x} \right ) {\it \_C1} \right ) \right \} \]