See attached image. Please provide detailed steps and explanation of solution. Derive the following Laplace Transformusing the definition:Assuming that IFCH)]= FGS), findLff'G]%3D

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Answered: Derive the following Laplace Transform…

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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See attached image. Please provide detailed steps and explanation of solution.

Derive the following Laplace Transform
using the definition:
Assuming that IFCH)]= FGS), findLff'G]
%3D

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This does not make alot of sense. If applying the definition how does the e^-st get moved outside as a constant and back in. Where does the s outside the functionin the solution come from? If someone could rework with a little more explanation it would be appreciated.

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