(a) A direction field for the differential equation y' = y(y - 2) (y - 4) is shown. Sketch the graphs of the solutions that satisfy the given initial conditions.
(i) y(0) = -0.3
(ii) y(0) = 1
(iii) y(0) = 3
(iv) y(0) = 4.3
(b) If the initial condition is y(0) = c, for what values of c is limt→∞y(t) finite? What are the equilibrium solutions?