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Consider the recursive relation xt+1=cl+x t where c > 0 is an unknown constant. (a) Find all equilibrium points. Answer: x = and x =

Consider the recursive relation xt+1=cl+x t where c > 0 is an unknown constant. (a) Find all equilibrium points. Answer: x = and x = (b) For which values of c is the zero equilibrium stable and the other one unstable? Answer: c

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