Consider the following difference equation and excitation:
(a) Find y[n], using the z-transform.
(b) Check the partial-fraction expansions in part (a) using MATLAB.
(c) Verify the results of part (a) for n = 0, 1, 2, 3, and 4, by solving the difference equation by iteration.
(d) Use MATLAB to check the results in part (c).
(e) Verify the value of y[0] in part (a), using the initial-value property.
(f) Will the final-value property give the correct value of If your answer is yes, find the final value. Otherwise, state why the final-value property is not applicable.
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