Make up a function F(t) that is of exponential order but

Chapter 7, Problem 47E

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QUESTION:

Make up a function F(t) that is of exponential order but where \(f(t)=F^{\prime}(t)\) is not of exponential order. Make up a function f that is not of exponential order but whose Laplace transform exists.

Text Transcription:

f(t)=F^prime(t)

Questions & Answers

QUESTION:

Make up a function F(t) that is of exponential order but where \(f(t)=F^{\prime}(t)\) is not of exponential order. Make up a function f that is not of exponential order but whose Laplace transform exists.

Text Transcription:

f(t)=F^prime(t)

ANSWER:

Step 1 of 3

Given that

We have to make up a function F(t) that is of exponential order but where is not of exponential order and we have to make up a function f  whose Laplace transform exists but that is not of exponential order .

 

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