Theorem 12.12  (Uniqueness of the Laplace Transform).  Let    have Laplace transforms  ,  respectively.   

            If  ,  then  .  

Proof.

Proof of Theorem 12.12.

Proof of Theorem 12.12 is in the book.

Complex Analysis for Mathematics and Engineering

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