\[ 16 x^2 y''(x)+(4 x+3) y(x)=0 \] ✓ Mathematica : cpu = 0.0357403 (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 = 0.032 (sec), leaf count = 23
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sin \left ( \sqrt {x} \right ) \sqrt [4]{x}+{\it \_C2}\,\sqrt [4]{x}\cos \left ( \sqrt {x} \right ) \right \} \]