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visual lam
Joined: 14 Dec 2004Posts: 3
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Posted: Tue Dec 14, 2004 1:11 pm Post subject: Laplace transforms 3
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(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.
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Kenny TM~
Frequent VisitorJoined: 20 Jan 2004Posts: 127
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Posted: Wed Dec 15, 2004 6:14 pm Post subject: Re: Laplace transforms 3
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visual lam wrote:
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(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)
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