Theorem 12.18  (Division by t).   Let both    have Laplace transforms and let    denote the Laplace transform of  .   If    exists then  

                        .  

Proof.

Proof of Theorem 12.18.

Proof of Theorem 12.18 is in the book.

Complex Analysis for Mathematics and Engineering

(c) 2006 John H. Mathews, Russell W. Howell