\[ \boxed { 16\,{x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +32\,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( 4\,x+5 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.079510 (sec), leaf count = 53 \[ \left \{\left \{y(x)\to \frac {c_2 e^{-\sqrt {x}} \left (\sqrt {x}+1\right )}{x^{5/4}}-\frac {c_1 e^{\sqrt {x}} \left (\sqrt {x}-1\right )}{x^{5/4}}\right \}\right \} \]
Maple: cpu = 0.062 (sec), leaf count = 35 \[ \left \{ y \left ( x \right ) ={{\it \_C1}{{\rm e}^{\sqrt {x}}} \left ( \sqrt {x}-1 \right ) {x}^{-{\frac {5}{4}}}}+{{\it \_C2}{{\rm e}^{- \sqrt {x}}} \left ( \sqrt {x}+1 \right ) {x}^{-{\frac {5}{4}}}} \right \} \]