Theorem 12.15   (Shifting the Variable  s).  If  [Graphics:Images/LaplaceShiftingMod_gr_15.gif]  is the Laplace transform of  [Graphics:Images/LaplaceShiftingMod_gr_16.gif],  then  

                        [Graphics:Images/LaplaceShiftingMod_gr_17.gif].  

Proof.

Proof of Theorem 12.15.

Proof of Theorem 12.15 is in the book.

Complex Analysis for Mathematics and Engineering

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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