\[ (x-2)^2 y''(x)-(x-2) y'(x)-3 y(x)=0 \] ✓ Mathematica : cpu = 0.0297404 (sec), leaf count = 22
\[\left \{\left \{y(x)\to c_1 (x-2)^3+\frac {c_2}{x-2}\right \}\right \}\] ✓ Maple : cpu = 0.035 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}+{\it \_C2}\, \left ( x-2 \right ) ^{4}}{x-2}} \right \} \]