(i) Show that the Laplace transform of f(t) = t sin(t) is 28 (s + 1)2...

Transcribed Image Text:

(i) Show that the Laplace transform of f(t) = t sin(t) is 28 (s² + 1)2 (ii) Use the Laplace transform and (i) to solve the initial value prob- lem y" + y = cos(t), y (0) = 0, y'(0) = 1. (i) Show that the Laplace transform of f(t) = t sin(t) is 28 (s² + 1)2 (ii) Use the Laplace transform and (i) to solve the initial value prob- lem y" + y = cos(t), y (0) = 0, y'(0) = 1.

Answer rating: 100% (QA)

The detailed ... View the full answer