2. (a) Given that F(s) = L{f(t)}, show that(b) Show thatdF (s)ds=L{tf(t)},d"F(s)(-1"). - = L{t¹f(t)}dsn(c) Use the result of (b) to find {t}, {t sinßt}, andL{te-cosh t}.

Given Data:The Laplace transform a continuous-time signal is given as,To Find:The proof of The…

Answered: (a) Given that F(s) = L{f(t)}, show…

(a) Given that F(s) = L{f(t)}, show that dF(s) = ds (b) Show that L{tf(t)}, dnF(s) dsn = L{t"f(t)} (-1") (c) Use the result of (b) to find {5}, L{t sinßt}, and L{te-cosh t}.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

2. (a) Given that F(s) = L{f(t)}, show that
(b) Show that
dF (s)
ds
=
L{tf(t)},
d"F(s)
(-1"). - = L{t¹f(t)}
dsn
(c) Use the result of (b) to find {t}, {t sinßt}, and
L{te-cosh t}.

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Step 1: Summarize the details given:

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Step 2: a. Prove the property of multiplication of t in time-domain.

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Step 3: b. Prove the property of multiplication of t^n in time-domain.

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Step 4: c. Find the LT of t^5

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Step 5: c. Find the LT of tsinBt.

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Step 6: c. Find the LT of t(e^-t) cosht.

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