ABSTRACT
Let f (t) be a function defined for all t ≥ 0; then
L ( f (t)) = = - ∞
∫F s e f t dts t( ) ( ) 0
(12.1)
F (s) is called the Laplace Transform of f (t). The inverse transform of F (s) is defined to be the function f (t), that is,
L -1 (F(s)) = f (t) (12.2)
We can create a table that contains both f (t) and the corresponding F (s).
