Differential equation, please reply as soon as possible

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 20E
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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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