Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral L{f(t)} 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.) L{f(t)} = (s > 0) = f(t) A 1. ∞ 10 1 (2, 2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
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
L{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.)
£{f(t)} =
(s > 0)
f(t)
So
6 e-stf(t) dt
1
1
(2, 2)
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 L{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.) £{f(t)} = (s > 0) f(t) So 6 e-stf(t) dt 1 1 (2, 2)
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