Question

4.33 Question Help d"F )- ( -1" f(m , where f One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as e - 1 (F). Use this equation to compute (F). ds" S+7 F(s) In s+9 Click here to view the table of Laplace transforms. Click here to view the tale of properties of Laplace transforms. -F)-

Answer 1

"Given f (s) = ln (s + 7/s + 9) implies f(x) = ln (s + 7- ln (s + 9) implies df/ds = d/d ln (s + 7) - d/ds ln (s + 9) implies df/ds = 1/s + 7 - 1/s + 9 implies f' (s) = df/ds = 1/s + 7 - 1/s + 9 implies L^- 1 {F' (s) } = L^- 1 {dF/ds} = L^- 1