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DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral £{f(t)} = f(t) = 8 S is said to be the Laplace transform of f, provided that the integral converges. Find £{f(t)}. (Write your answer as a function of s.) √9, ૧૦, e-stf(t) dt 0 ≤ t < 3 t≥ 3

DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral £{f(t)} = f(t) = 8 S is said to be the Laplace transform of f, provided that the integral converges. Find £{f(t)}. (Write your answer as a function of s.) √9, ૧૦, e-stf(t) dt 0 ≤ t < 3 t≥ 3

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral · Sº L{f(t)} = is said to be the Laplace transform of f, provided that the integral converges. f(t) = e-stf(t) dt Find £{f(t)}. (Write your answer as a function of s.) S9, 0, 0 ≤t <3 t≥ 3 £{f(t)} = (No Response) (s > 0)
Transcribed Image Text:Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral · Sº L{f(t)} = is said to be the Laplace transform of f, provided that the integral converges. f(t) = e-stf(t) dt Find £{f(t)}. (Write your answer as a function of s.) S9, 0, 0 ≤t <3 t≥ 3 £{f(t)} = (No Response) (s > 0)
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