\[ \boxed { \left ( x-2 \right ) ^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) - \left ( x-2 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -3\,y \left ( x \right ) =0} \]
Mathematica: cpu = 0.029504 (sec), leaf count = 22 \[ \left \{\left \{y(x)\to c_1 (x-2)^3+\frac {c_2}{x-2}\right \}\right \} \]
Maple: cpu = 0.0 (sec), leaf count = 19 \[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{x-2}}+{\it \_C2}\, \left ( x-2 \right ) ^{3} \right \} \]