(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}.
(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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Transcribed Image Text: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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VIEWStep 2: a. Prove the property of multiplication of t in time-domain.
VIEWStep 3: b. Prove the property of multiplication of t^n in time-domain.
VIEWStep 4: c. Find the LT of t^5
VIEWStep 5: c. Find the LT of tsinBt.
VIEWStep 6: c. Find the LT of t(e^-t) cosht.
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