\[ (x-2)^2 y''(x)-(x-2) y'(x)-3 y(x)=0 \] ✓ Mathematica : cpu = 0.0213387 (sec), leaf count = 22
DSolve[-3*y[x] - (-2 + x)*Derivative[1][y][x] + (-2 + x)^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 (x-2)^3+\frac {c_2}{x-2}\right \}\right \}\] ✓ Maple : cpu = 0.009 (sec), leaf count = 19
dsolve((x-2)^2*diff(diff(y(x),x),x)-(x-2)*diff(y(x),x)-3*y(x)=0,y(x))
\[y \left (x \right ) = \frac {c_{1}+c_{2} \left (x -2\right )^{4}}{x -2}\]