Program Explanation Given information: The function F ( s ) is written as, F ( s ) = s ( 1 + e − 3 s ) s 2 + π 2 Calculation: Take the inverse Laplace Transform of the function F ( s ) as shown below. L − 1 { F ( s ) } = L − 1 { s ( 1 + e − 3 s ) s 2 + π 2 } = L − 1 { ( s s 2 + π 2 ) } + L − 1 { e − ( 3 ) s ( s s 2 + π 2 ) } Further, solve the expression by the use of Translation on the t -Axis as shown below

MyLab Math with Pearson eText -- 24-Month Standalone Access Card -- For Differential Equations and Boundary Value Problems: Computing and Modeling Tech Update

5th Edition

ISBN: 9780134872971

Author: Edwards, C., Penney, David, Calvis

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 9P

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Program Description: Purpose of the problem is to obtain the inverse Laplace transform f(t) for the function F(s)=s(1+e −3s)s2+π2 and sketch the graph of function f(t) .

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Chapter 7.5, Problem 8P

Chapter 7.5, Problem 10P

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Chapter 7 Solutions

MyLab Math with Pearson eText -- 24-Month Standalone Access Card -- For Differential Equations and Boundary Value Problems: Computing and Modeling Tech Update

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 obtain the inverse Laplace transform f ( t ) for the function F ( s ) = s ( 1 + e − 3 s ) s 2 + π 2 and sketch the graph of function f ( t ) .

Solution Summary: The author explains how to obtain the inverse Laplace transform f(t) for the function.

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Program Description: Purpose of the problem is to obtain the inverse Laplace transform f(t) for the function F(s)=s(1+e −3s)s2+π2 and sketch the graph of function f(t) .

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Chapter 7 Solutions