If f(p) is the Laplace transform of f(t) and a>0, then e" f(p) is the Laplace transform of f(t-a)u(t-a) where u(t-a) is the Heaviside unit step function defined as

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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If f(p) is the Laplace transform of f(t) and a>0, then e" f(p) is the Laplace
transform of f(t-a)u(t-a) where u(t-a) is the Heaviside unit step function defined as
u(t-a)=1 ;
if
t>a
= 0 ; if
t<a
Transcribed Image Text:If f(p) is the Laplace transform of f(t) and a>0, then e" f(p) is the Laplace transform of f(t-a)u(t-a) where u(t-a) is the Heaviside unit step function defined as u(t-a)=1 ; if t>a = 0 ; if t<a
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