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
Posted: Thu Jun 02, 2022 9:02 am
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.