Question: Let , c be fixed. Solve the affine (or inhomogeneous linear) iterative equation u(k+l) = u(k) + c, u(0) = a. (10.5) Discuss the possible

Let λ, c be fixed. Solve the affine (or inhomogeneous linear) iterative equation
u(k+l) = λu(k) + c, u(0) = a. (10.5)
Discuss the possible behaviors of the solutions. Write the solution in the form u(k) = u' + v(k) where u* is the equilibrium solution.

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