Explanation Given: The given function is, f ( t ) = { 1 , 0 ≤ t ≤ 2 , − 1 , t ≥ 2. Approach: Let f be a function defined on the interval [ 0 , ∞ ) . The Laplace transform of f is the function F ( s ) defined by, F ( s ) = ∫ 0 ∞ e − s t f ( t ) d t = lim N → ∞ ∫ 0 N e − s t f ( t ) d t It is provided that the improper integral converges. The Laplace transform of f is denoted by L [ f ] . Calculation: Find the Laplace transform of the function. L ( f ) = ∫ 0 ∞ e − s t ⋅ f ( t ) d t = ∫ 0 2 e − s t ⋅ 1 d t +

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Author: ANNIN

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Chapter 10.1, Problem 10P

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To find:

The value of L[f] by the use of Laplace transformation for he given function f(t)={ 1, 0≤t≤2,−1, t≥2.

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Chapter 10.1, Problem 9P

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EBK DIFFERENTIAL EQUATIONS AND LINEAR A

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The value of L [ f ] by the use of Laplace transformation for he given function f ( t ) = { 1 , 0 ≤ t ≤ 2 , − 1 , t ≥ 2.

Solution Summary: The author explains how to find the value of Lleft[fright] by the use of Laplace transformation.

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To find:

The value of L[f] by the use of Laplace transformation for he given function f(t)={ 1, 0≤t≤2,−1, t≥2.

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Chapter 10 Solutions

The value of L [ f ] by the use of Laplace transformation for he given function f ( t ) = { 1 , 0 ≤ t ≤ 2 , − 1 , t ≥ 2.

Solution Summary: The author explains how to find the value of Lleft[fright] by the use of Laplace transformation.

Concept explainers

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To find: The value of L[f] by the use of Laplace transformation for he given function f(t)={ 1, 0≤t≤2,−1, t≥2.

Want to see the full answer?

Chapter 10 Solutions

To find:

The value of L[f] by the use of Laplace transformation for he given function f(t)={ 1, 0≤t≤2,−1, t≥2.