Theorem 12.17   (Multiplication by t).  If  [Graphics:Images/LaplaceMultDivMod_gr_9.gif]  is the Laplace transform of  [Graphics:Images/LaplaceMultDivMod_gr_10.gif],  then

                        [Graphics:Images/LaplaceMultDivMod_gr_11.gif].  

Proof.

Proof of Theorem 12.17.

Proof of Theorem 12.17 is in the book.

Complex Analysis for Mathematics and Engineering

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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