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DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral <(F(t))} = " e-stf(t) dt L Jo 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.) 0 ≤ t < 1 f(t) = {-1₁ 1, t≥ 1 £{f(t)} = X (s > 0)

DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral <(F(t))} = " e-stf(t) dt L Jo 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.) 0 ≤ t < 1 f(t) = {-1₁ 1, t≥ 1 £{f(t)} = X (s > 0)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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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 -1² e-stf(t) dt 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.) f(t) = {-11 £{f(t)} = £{f(t)} = 0 ≤t < 1 t≥ 1 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 -1² e-stf(t) dt 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.) f(t) = {-11 £{f(t)} = £{f(t)} = 0 ≤t < 1 t≥ 1 X (s > 0)
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