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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)}

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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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 (+-
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 (+-
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)}
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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