Theorem 12.11  (Linearity of the Laplace Transform).  Let    have Laplace transforms  ,  respectively.  If  a  and  b  are constants, then   

            .

Proof.

Proof of Theorem 12.11.

Proof of Theorem 12.11 is in the book.

Complex Analysis for Mathematics and Engineering

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