Explanation First translation theorem: If L { f ( t ) } = F ( s ) and a is any real number, then L { e a t f ( t ) } = F ( s − a ) , where L { f ( t ) } denotes the Laplace transform of the function f ( t ) . Calculation: The given expression is L { t 3 e − 2 t } Consider the function f { t } = t 3 . Obtain the expression L { f ( t ) } as follows: Using the result L { t n } = n ! s n + 1 and solve the expression as, L

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Differential Equations

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Chapter 4.3, Problem 3E

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To find: The Laplace transform of the function t3e−2t.

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Chapter 4.3, Problem 2E

Chapter 4.3, Problem 4E

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The Laplace transform of the function t 3 e − 2 t .

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Chapter 4 Solutions