L {eºt f(5t)} = m · F (n · s + a), where m, n and a are certain constants. a) Calculate value of m b) Calculate value of a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Let fbe a function such that
L{f(t)} = F(s).
When calculating using the transform definition of
Laplace the value of
L {eºt.f(5t)}
we obtain that:
L {est f(5t)} = mF (n.s+ a),
where m, n and a are certain constants.
a) Calculate value of m
b) Calculate value of a
Transcribed Image Text:Let fbe a function such that L{f(t)} = F(s). When calculating using the transform definition of Laplace the value of L {eºt.f(5t)} we obtain that: L {est f(5t)} = mF (n.s+ a), where m, n and a are certain constants. a) Calculate value of m b) Calculate value of a
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