(1) The following is the slope field of the differential equation y'(t) =y (1-y).
Based on the slope field, determine the behavior of y as t apporaches infinity.
If this behavior depends on the initial condition of y at t=0, describe this dependence.


(2) Draw the directional field for the differential equation y'(t)=y(y-2) at the following points (0, 1), (1,1), (2,1), (1, 2), (2,2), (3,2) on the t-y plane.

(3) Draw the directional field for the differential equation y'(t)=(t+1)(y-2) at the following points (0, 1), (1,1), (2,1), (1, 2), (2,2), (3,2) on the t-y plane.