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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 f(t) = £{f(t)} = £{f(t)} = 6.te 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.) √6, 0 ≤t<5 t≥ 5 e-stf(t) dt x (s > 0)

Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral f(t) = £{f(t)} = £{f(t)} = 6.te 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.) √6, 0 ≤t<5 t≥ 5 e-stf(t) dt x (s > 0)

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 f(t) = - 1 e е £{f(t)} = £{f(t)} = 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.) √6, 0≤t<5 t≥ 5 -stf(t) dt X (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 f(t) = - 1 e е £{f(t)} = £{f(t)} = 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.) √6, 0≤t<5 t≥ 5 -stf(t) dt X (s > 0)
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