Answered: s+4 We have L- 4t e cos 3t. (s+4)2 +9

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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decide if the given statement is true or false,and give a brief justiﬁcation for your answer.If true, you can quote a relevant deﬁnition or theorem . If false,provide an example,illustration,or brief explanation of why the statement is false

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Step 1

We have to prove that the given statement is true or not.

$L^{- 1} \{\frac{s + 4}{{(s + 4)}^{2} + 9}\} = e^{- 4 t} \cos 3 t$ .

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