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

5th Edition

ISBN: 9780135904206

Author: Edwards

Publisher: PEARSON

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Problems on Growing Functions

For a given set of functions f and g, the growth of functions states that the function g grows as fast as the function f. The growth rate of algorithms helps determine the algorithm's efficiency and compare its performance to other algorithms.

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Chapter 7.5, Problem 4P

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Program Description: Purpose of the problem is to obtain the inverse Laplace transform f(t) for the function F(s)=e−s−e2−2ss−1 and sketch the graph of function f(t) .

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Chapter 7.5, Problem 3P

Chapter 7.5, Problem 5P

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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 obtain the inverse Laplace transform f ( t ) for the function F ( s ) = e − s − e 2 − 2 s s − 1 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)=e−s−e2−2ss−1 and sketch the graph of function f(t) .

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Chapter 7 Solutions