The result of the convolution; y(t) = 7e-5t y(t) = L-1 {(7/(s+5))*e-S} Ⓒy(t) = L-1 {(7/(s+5)).e-S} = L-1 {7e-S/(s+5)} Ⓒy(t) = (7/(s+5)).e-S Ⓒy(t) = 7e-S/(s+5) 7e-5tu(t) * (t-1) can be written via the Laplace transform as

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The result of the convolution; y(t) = 7e-5t
y(t) = L-1{(7/(s+5))*e-S}
y(t) = L-1 {(7/(s+5)).e-S} = L-1{7e-S/(s+5)}
Ⓒy(t) = (7/(s+5)).e-S
Ⓒy(t) = 7e-S/(s+5)
7e-5tu(t) * 5(t-1) can be written via the Laplace transform as
Transcribed Image Text:The result of the convolution; y(t) = 7e-5t y(t) = L-1{(7/(s+5))*e-S} y(t) = L-1 {(7/(s+5)).e-S} = L-1{7e-S/(s+5)} Ⓒy(t) = (7/(s+5)).e-S Ⓒy(t) = 7e-S/(s+5) 7e-5tu(t) * 5(t-1) can be written via the Laplace transform as
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