Given that use the translation property to compute

Chapter 7, Problem 21E

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QUESTION:

Given that \(\mathscr{L}\{\cos b t\}(s)=s /\left(s^{2}+b^{2}\right)\), use the translation property to compute \(\mathscr{L}\{\cos b t\}\).

Equation transcription:

Text transcription:

mathscr{L}\{cos b t}(s)=s /\(s^{2}+b^{2})

mathscr{L}\{cos b t}

Questions & Answers

QUESTION:

Given that \(\mathscr{L}\{\cos b t\}(s)=s /\left(s^{2}+b^{2}\right)\), use the translation property to compute \(\mathscr{L}\{\cos b t\}\).

Equation transcription:

Text transcription:

mathscr{L}\{cos b t}(s)=s /\(s^{2}+b^{2})

mathscr{L}\{cos b t}

ANSWER:

Solution

In this question we have to compute using the translation property

 .

Step 1

We are given that

Computing  using the translation property

Now as per translation property it  then .

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