(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 lim t→∞ y (t) finite? What are the equilibrium solutions?

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