\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) =1/2\,{\frac { \left ( x-4 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{x \left ( x-2 \right ) }}-1/2\,{\frac { \left ( x-3 \right ) y \left ( x \right ) }{{x}^{2} \left ( x-2 \right ) }}=0} \]
Mathematica: cpu = 0.043006 (sec), leaf count = 55 \[ \left \{\left \{y(x)\to \frac {c_1 \sqrt [4]{x-2} \sqrt {x}}{\sqrt [4]{2-x}}+\frac {2 c_2 (x-2)^{3/4} \sqrt {x}}{\sqrt [4]{2-x}}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 19 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt {x}+{\it \_C2}\,\sqrt { x \left ( x-2 \right ) } \right \} \]