Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . . , then L{t¹f(t)} = (-1)^ d^_F(s). dsn Evaluate the given Laplace transform. (Write your answer as a function of s.) {t sinh(2t)}
Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . . , then L{t¹f(t)} = (-1)^ d^_F(s). dsn Evaluate the given Laplace transform. (Write your answer as a function of s.) {t sinh(2t)}
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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![Solve equation (10) from Section 7.4
1
-= /[^/(2T) (
i(t) dt = E(t) (10)
с
subject to i(0) = 0 with L, R, C, and E(t) as given.
L = 0.1 h, R = 3 , C = 0.05 f,
E(t) = 100 [U(t − 1) – U(t − 2)]
Ju(t-1) + (
i(t)
L. + Ri(t) +
dt
=
Jau (+-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6589b73f-c70a-44b7-9b99-e4dd330855a5%2F3f66dba7-fd94-47a7-a040-536d0e5c453c%2Fgnqlzy_processed.png&w=3840&q=75)
Transcribed Image Text:Solve equation (10) from Section 7.4
1
-= /[^/(2T) (
i(t) dt = E(t) (10)
с
subject to i(0) = 0 with L, R, C, and E(t) as given.
L = 0.1 h, R = 3 , C = 0.05 f,
E(t) = 100 [U(t − 1) – U(t − 2)]
Ju(t-1) + (
i(t)
L. + Ri(t) +
dt
=
Jau (+-
Transcribed Image Text:Use Theorem 7.4.1.
THEOREM 7.4.1 Derivatives of Transforms
If F(s) = L{f(t)} and n = 1, 2, 3, . . . , then
L{t¹f(t)} = (-1)^ d^_F(s).
dsn
Evaluate the given Laplace transform. (Write your answer as a function of s.)
{t sinh(2t)}
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