Explanation Given: The given expression is L − 1 { 1 ( s − 5 ) 3 } . Formula used: The formula for the inverse Laplace transform is as follows, L − 1 { n s n + 1 } = t n And if L − 1 { F ( s ) } = f ( t ) then, L − 1 { F ( s − a ) } = e a t f ( t ) Here a is any constant. Linearity property of the inverse Laplace transform is as follows, If a and b be any constant and f and g be any function of s then, L − 1 { a f ( s ) + b g ( s )

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ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Chapter 4, Problem 15CR

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To fill: The blank in the statement “L−1{1(s−5)3}=_______”.

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Chapter 4, Problem 14CR

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Chapter 4 Solutions

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The blank in the statement “ L − 1 { 1 ( s − 5 ) 3 } = _ _ _ _ _ _ _ ”.

Solution Summary: The author explains the formula for the inverse Laplace transform.

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To fill: The blank in the statement “L−1{1(s−5)3}=_______”.

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Chapter 4 Solutions