Program Explanation Given information: The Laplace transform of piecewise continuous function f ( t ) for t ≥ 0 is written as, L { f ( t ) } = F ( s ) = 1 1 − e − p s ∫ 0 p e − s t f ( t ) d t s > 0 Here, function f ( t ) is a periodic function of period p . The period of function f ( t ) = 1 is 1. Calculation: Substitute 1 for p and 1 for f ( t ) in the Laplace transform equation for periodic function f ( t ) = 1 as shown below. L { 1 } = 1 1 − e − ( 1 ) s ∫ 0 ( 1 ) e − s t ( 1 ) d t = 1 1 − e − s ∫ 0 1 e − s t d t =

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ISBN: 9780135904206

Author: Edwards

Publisher: PEARSON

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A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exp…

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Chapter 7.5, Problem 23P

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Program Description: Purpose of the problem is to verify L{1}=1s from the theorem of periodic functions with period of f(t) is 1.

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Chapter 7.5, Problem 22P

Chapter 7.5, Problem 24P

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Chapter 7 Solutions

DIFFERENTIAL EQUATIONS+..-MYLAB ACCESS

Ch. 7.1 - Apply the definition in (1) to find directly tile...Ch. 7.1 - Prob. 2P Ch. 7.1 - Prob. 3P Ch. 7.1 - Prob. 4P Ch. 7.1 - Prob. 5P Ch. 7.1 - Prob. 6P Ch. 7.1 - Prob. 7P Ch. 7.1 - Prob. 8P Ch. 7.1 - Prob. 9P Ch. 7.1 - Prob. 10P

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Program Description: Purpose of the problem is to verify L { 1 } = 1 s from the theorem of periodic functions with period of f ( t ) is 1.

Solution Summary: The author explains the Laplace transform equation for periodic functions with period of f(t)=1.

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Program Description: Purpose of the problem is to verify L{1}=1s from the theorem of periodic functions with period of f(t) is 1.

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Chapter 7 Solutions