Differential equation, please reply as soon as possible

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.3: Modeling With Linear Equations
Problem 61E
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Differential equation, please reply as soon as possible

L{e" f(t)}
,7t
Transcribed Image Text:L{e" f(t)} ,7t
Consider the convolution f (t) = 25 * H (t- 20), where H corresponds to the unit step function
of Heaviside. So when calculating L = {e7tf(t)} is obtained:
25e-20s+a
(s – 7)²
With a E R, What is the value of the constant a?
Transcribed Image Text:Consider the convolution f (t) = 25 * H (t- 20), where H corresponds to the unit step function of Heaviside. So when calculating L = {e7tf(t)} is obtained: 25e-20s+a (s – 7)² With a E R, What is the value of the constant a?
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