visual lam
Joined: 14 Dec 2004Posts: 3

Posted: Tue Dec 14, 2004 1:11 pm Post subject: Laplace transforms 3



(a) Show from first principles that . Indicate for what values of the Laplace variable s your result is valid.
(b) Show by direct evaluation that , where * denotes convolution product of two functions. Hence show using the convolution theorem and your result in part (a) above that . Note: You are not allowed to use tables of Laplace transforms for this part.


Kenny TM~
Frequent VisitorJoined: 20 Jan 2004Posts: 127

Posted: Wed Dec 15, 2004 6:14 pm Post subject: Re: Laplace transforms 3



visual lam wrote:

(a) Show from first principles that . Indicate for what values of the Laplace variable s your result is valid.
(b) Show by direct evaluation that , where * denotes convolution product of two functions. Hence show using the convolution theorem and your result in part (a) above that . Note: You are not allowed to use tables of Laplace transforms for this part. 
(First principle???) (a)
Thus s is valid only when s > a. (b)

