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00 Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = Sestf(t)dt. Use this definition to determine the Laplace 0 transform of the following function. 0

00 Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = Sestf(t)dt. Use this definition to determine the Laplace 0 transform of the following function. 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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Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = Sestf(t)dt. Use this definition to determine the Laplace 0 transform of the following function. e 0<t<5 f(t) = 1, 5<t - 15 The Laplace transform of f(t) is F(s) = for all positive s and F(s) = 5 + s) = 5 + = = e = 1¹ otherwise. (Type exact answers.)
Transcribed Image Text:Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = Sestf(t)dt. Use this definition to determine the Laplace 0 transform of the following function. e 0<t<5 f(t) = 1, 5<t - 15 The Laplace transform of f(t) is F(s) = for all positive s and F(s) = 5 + s) = 5 + = = e = 1¹ otherwise. (Type exact answers.)
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