(a) With a slight change in notation the transform in (6) is the same as {f' (t)} = s {f

Chapter 4, Problem 43

(choose chapter or problem)

(a) With a slight change in notation the transform in (6) is the same as {f' (t)} = s {f (t)} -f(O). Withf(t) = tea', discuss how this result in conjunction with part ( c) of Theorem 4.1.1 can be used to evaluate { teat}. (b) Proceed as in part (a), but this time discuss how to use (7) withf(t) = t sin kt in conjunction with parts (d) and (e) of Theorem 4.1.1 to evaluate {t sin kt}.

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