75. (a) Use the definition of Laplace transform to show that te-u(1)→→→→→→ 1 (s+b)² is a Laplace transform pair, for any

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75 A Use The Definition Of Laplace Transform To Show That Te U 1 1 S B Is A Laplace Transform Pair For Any 1 (16.44 KiB) Viewed 50 times

75. (a) Use the definition of Laplace transform to show that te-u(1)→→→→→→ 1 (s+b)² is a Laplace transform pair, for any b = R. (b) Hence use the definition of the Laplace transform and Mathematical Induction to show that, for any integer N 2 1, N! Ne-bu(t) + (s+b)N+I is a Laplace transform pair.