Question

Second translation theorem?

Answer 1

Hi I am having trouble understanding the second translation theorem.

Theorem: If \(F(s)=\mathscr{L}\{f(t)\} \) and a>0 then\[\mathscr{L}\{f(t-a)\mathscr{U}(t-a)\}=e^{-as}F(s)\]

Answer 2

But I can't see how to apply it in a question. For example. Find F(s) for \[\mathscr{L}\{\cos 2t\,\, \mathscr{U}(t-\pi )\}\]

Answer 3

never heard of this
I'll look into it, but either way... bookmark

Answer 4

\[\mathscr U\] is the heavyside function ???

Answer 5

not sure. My textbook calls it the "second translation theorem"

Answer 6

i guess you probably have done this