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
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Need Help?
Read It](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1140906c-dab4-4b72-b9ed-9e944e0bd1a4%2F86fefda9-0e25-43f5-b37b-01e664861004%2F6zm2q4_processed.jpeg&w=3840&q=75)
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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