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Answer: Laplace transforms A powerful tool in solving

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 79E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 79E

Laplace transforms A powerful tool in solving problems in engineering and physics is the Laplace transform. Given a function f(t), the Laplace transform is a new function F(s) defined by where we assume then s is a positive real number. For example, to find the Laplace transform oj f(t)= e?t, the following improper integral is evaluated using integration by parts: Verify the following Laplace transforms, where a is a real number.

Step-by-Step Solution:

Problem 79ELaplace transforms A powerful tool in solving problems in engineering and physics is the Laplace transform. Given a function f(t), the Laplace transform is a new function F(s) defined by where we assume then s is a positive real number. For example, to find the Laplace transform of , the following improper integral is evaluated using integration by parts:Verify the following Laplace transforms, where a is a real number.SolutionStep 1In this problem we have to verify the given laplace transform. That is we have to prove : where a is a real number.The laplace transform of a function is defined as follows.Given a function f(t), the Laplace transform is a new function F(s) defined by where we assume s is a positive real number.

Step 2 of 3

Chapter 7.7, Problem 79E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Answer: Laplace transforms A powerful tool in solving