Explanation Given: The Laplace transform L ( f ( t ) ) = F ( s ) , a > 0 . Concept used: If f ( t ) is a piecewise continuous function and of exponential of order t > 0 then Laplace transform of f ( t ) is expressed as, L ( f ( t ) ) = ∫ 0 ∞ e − s t f ( t ) d t Calculation: Use the definition above to write the Laplace transform of the given function. L ( f ( t ) ) = F ( s ) 1 a F ( s a ) = 1 a ∫ 0 ∞ e</

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Chapter 4.1, Problem 54E

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Chapter 4.1, Problem 53E

Chapter 4.1, Problem 55E

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Chapter 4 Solutions

Advanced Engineering Mathematics

Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E

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The change of scale theorem for the given function.

Solution Summary: The author explains the Laplace transform of f(t), which is expressed as a piecewise continuous function and of exponential order.

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Chapter 4 Solutions