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DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f(t)} provided that the integral converges. Consider the following function. L{f(t)} = f(t) 1 1 (3, 6) = - fºe- e-stf(t) dt is said to be the Laplace transform of f, 0 Use Definition 7.1.1, to find L{f(t)}. (Write your answer as a function of s.) (s > 0)

DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f(t)} provided that the integral converges. Consider the following function. L{f(t)} = f(t) 1 1 (3, 6) = - fºe- e-stf(t) dt is said to be the Laplace transform of f, 0 Use Definition 7.1.1, to find L{f(t)}. (Write your answer as a function of s.) (s > 0)

Advanced Engineering Mathematics
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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DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f(t)} provided that the integral converges. Consider the following function. L{f(t)} = f(t) 1 1 (3, 6) = - fºe- e-stf(t) dt is said to be the Laplace transform of f, 0 Use Definition 7.1.1, to find L{f(t)}. (Write your answer as a function of s.) (s > 0)
Transcribed Image Text:DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f(t)} provided that the integral converges. Consider the following function. L{f(t)} = f(t) 1 1 (3, 6) = - fºe- e-stf(t) dt is said to be the Laplace transform of f, 0 Use Definition 7.1.1, to find L{f(t)}. (Write your answer as a function of s.) (s > 0)
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