Draw a direction field for the differential equation y' = -y(2-y). Based on the direction field, determine the behavior of y as t→∞. If this behavior depends on the initial value of y at t = 0, describe this dependency. The two equilibrium solutions are y(t) = 0 and y(t) = 2 Solutions with initial values greater than 2 diverge from the solution y(t) = 2. Solutions with initial values between 0 and 2 decrease toward the solution y(t) = 0. ✓ Solutions with initial values less than 0 increase toward the solution y(t) = 0. ✓

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