Explanation Given: The function is f ( t ) = { 4 , 0 ≤ t < 2 0 , t ≥ 2 . Definition used: If f ( t ) is a piecewise continuous function and of exponential of order t > 0 such that f ( t ) is defined in two pieces; then Laplace transform of f ( t ) is expressed as the sum of two integrals. L { f ( t ) } = ∫ 0 ∞ e − s t f ( t ) d t = ∫ 0 a e − s t f ( t ) d t + ∫ a ∞ e − s t f ( t ) d t Calculation: Note that, the domain of f ( t ) is split into two parts, 0 to 2 and 2 to ∞

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ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Chapter 4.1, Problem 2E

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To find: The expression for the Laplace transform of the given function

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Chapter 4.1, Problem 1E

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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 expression for the Laplace transform of the given function

Solution Summary: The author explains the Laplace transform of f(t), which is expressed as the sum of two integrals.

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Chapter 4 Solutions