chapter 66

Inverse Laplace transforms

Pages 7

If the Laplace transform of a function f (t) is F(s), i.e. L{ f (t)}= F(s), then f (t) is called the inverse Laplace transform of F(s) and is written as f (t) = L−1{F(s)}. For example, since L{1}= 1

s then L−1

{ 1 s

}

= 1. Similarly, since L{sin at}= a

s2 + a2 then

L−1 {

a

s2 + a2 }

= sin at, and so on.