\[ \boxed { 16\,{x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( 4\,x+3 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.038505 (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 = 0.016 (sec), leaf count = 23 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sin \left ( \sqrt {x} \right ) \sqrt [4]{x}+{\it \_C2}\,\sqrt [4]{x}\cos \left ( \sqrt {x} \right ) \right \} \]