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a. Set up an integral for finding the Laplace transform of the following function: { 0, li+1, 0

a. Set up an integral for finding the Laplace transform of the following function: { 0, li+1, 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I have all parts solved except part c where I am confused on how to evaluate the integral

a. Set up an integral for finding the Laplace transform of the following function: 0 <t < 6 6 <t. 0, f( F() = { . t+ 1, В F(s) = L {f(t)} = e^(-st)(t+1)dt help (formulas) where A = 6. and B = inf b. Find the antiderivative (with constant term 0) corresponding to the previous part. (-t/s)e^(-st)-(1/s^(2)e^(-st))-(1/s)e^(-st) c. Evaluate appropriate limits to compute the Laplace transform of f(t): F(s) = L {f(t)} = (6/s)e^(-6s)+(1/s^(2))e^(-6s) d. Where does the Laplace transform you found exist? In other words, what is the domain of F(s)? (0,inf) help (inequalities)
Transcribed Image Text:a. Set up an integral for finding the Laplace transform of the following function: 0 <t < 6 6 <t. 0, f( F() = { . t+ 1, В F(s) = L {f(t)} = e^(-st)(t+1)dt help (formulas) where A = 6. and B = inf b. Find the antiderivative (with constant term 0) corresponding to the previous part. (-t/s)e^(-st)-(1/s^(2)e^(-st))-(1/s)e^(-st) c. Evaluate appropriate limits to compute the Laplace transform of f(t): F(s) = L {f(t)} = (6/s)e^(-6s)+(1/s^(2))e^(-6s) d. Where does the Laplace transform you found exist? In other words, what is the domain of F(s)? (0,inf) help (inequalities)
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