Existence, Uniqueness & Bifurcations · Hard problem

For $y' = y(y - 2)^2$, how many of the integer initial values $y(0) \in \{-3, -2, -1, 0, 1, 2, 3\}$ give a solution with $\displaystyle\lim_{t\to\infty} y(t) = 2$?