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y(t) = L** [o-* (7-3) +F(25 - 3) * s(2s – 3) 6. 9

y(t) = L** [o-* (7-3) +F(25 - 3) * s(2s – 3) 6. 9

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 20E
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Determine the laplace inverse of the problem by using partial fraction decomposition and follow the steps provided.
y(t) = L~* [o-* (725 - 3)**F(25 - 3) * s(2s – 3) 2 9 =L-1
Transcribed Image Text:y(t) = L~* [o-* (725 - 3)**F(25 - 3) * s(2s – 3) 2 9 =L-1
Steps in determining the Inverse Laplace Transform of the form e¬as F (s): In using the formula, E(t) = L-'[e¬as F(s)] = f(t – a)H(t – a), will involved the following steps. 1. Identify the value, a. It is the coefficient of the exponential function. 2. Determine the inverse of the function F(s). The inverse of the function, F(s), will yield f(t). 3. Transform f(t) into f(t-a) by substituting "t-a" in all the "t" variables in the f(t). 4. E(t) is now determined by multiplying the obtained f(t-a) in (3) by H(t-a).
Transcribed Image Text:Steps in determining the Inverse Laplace Transform of the form e¬as F (s): In using the formula, E(t) = L-'[e¬as F(s)] = f(t – a)H(t – a), will involved the following steps. 1. Identify the value, a. It is the coefficient of the exponential function. 2. Determine the inverse of the function F(s). The inverse of the function, F(s), will yield f(t). 3. Transform f(t) into f(t-a) by substituting "t-a" in all the "t" variables in the f(t). 4. E(t) is now determined by multiplying the obtained f(t-a) in (3) by H(t-a).
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