\[ y''(x)=\frac {(x-4) y'(x)}{2 (x-2) x}-\frac {(x-3) y(x)}{2 (x-2) x^2} \] ✓ Mathematica : cpu = 0.0501978 (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 = 0.025 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt {x}+{\it \_C2}\,\sqrt {x \left ( x-2 \right ) } \right \} \]