\[ 16 x^2 y''(x)+(4 x+3) y(x)=0 \] ✓ Mathematica : cpu = 0.0283907 (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 = 0.023 (sec), leaf count = 21
\[\left \{y \left (x \right ) = \left (c_{1} \sin \left (\sqrt {x}\right )+c_{2} \cos \left (\sqrt {x}\right )\right ) x^{\frac {1}{4}}\right \}\]