Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms L{f(t)} and n = 1, 2, 3, . . . , then If F(s) = L{t^f(t)} = (-1)^ d^_F(S). dsn Evaluate the given Laplace transform. (Write your answer as a function of s.) L{te-15ty
Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms L{f(t)} and n = 1, 2, 3, . . . , then If F(s) = L{t^f(t)} = (-1)^ d^_F(S). dsn Evaluate the given Laplace transform. (Write your answer as a function of s.) L{te-15ty
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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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{t^f(t)} = (−1)n d^_F(s).
dsn
Evaluate the given Laplace transform. (Write your answer as a function of s.)
L{te-15t}
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