\[ 16 x^2 y''(x)+(4 x+3) y(x)=0 \] ✓ Mathematica : cpu = 0.0254483 (sec), leaf count = 47
\[\left \{\left \{y(x)\to c_1 e^{i \sqrt {x}} \sqrt [4]{x}+i c_2 e^{-i \sqrt {x}} \sqrt [4]{x}\right \}\right \}\] ✓ Maple : cpu = 0.047 (sec), leaf count = 21
\[ \left \{ y \left ( x \right ) =\sqrt [4]{x} \left ( \cos \left ( \sqrt {x} \right ) {\it \_C2}+\sin \left ( \sqrt {x} \right ) {\it \_C1} \right ) \right \} \]