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Problem 5 2 2 Solve the difference equation X(t + 1) = X(t), where X(t) has two com- 1 3 ac (t) ponents: X(t) =

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Problem 5 2 2 Solve the difference equation X(t + 1) = X(t), where X(t) has two com- 1 3 ac (t) ponents: X(t) = . Assume the initial conditions are ac (0) = 1 and y(0) = 0. y ( t ) Problem 6 dac Consider the differential equation dt = a(2 - 1) (2 - 2). 1. What are the fixed point of the dynamics? 2. Are they stable or unstable

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