Use Theorem 7.4.1: THEOREM 7.4.1 Derivatives of Transforms If F(s) = {f(t)} and n = 1, 2, 3, . . . , then £{t^f(t)} = (-1)^ d^_F(s). ds Evaluate the given Laplace transform. (Write your answer as a function of s.) L{te-t Need Help? Read It

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use Theorem 7.4.1:
THEOREM 7.4.1 Derivatives of Transforms
If F(s) = {f(t)} and n = 1, 2, 3,..., then
L{t^f(t)} = (-1)^ d^_F(s).
dsn
Evaluate the given Laplace transform. (Write your answer as a function of s.)
L{te-7t
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Transcribed Image Text:Use Theorem 7.4.1: THEOREM 7.4.1 Derivatives of Transforms If F(s) = {f(t)} and n = 1, 2, 3,..., then L{t^f(t)} = (-1)^ d^_F(s). dsn Evaluate the given Laplace transform. (Write your answer as a function of s.) L{te-7t Need Help? Read It
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