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Lecture 4.pdf

Lecture 4.pdf - Laplace Transform Lecture 4 Find the...

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Laplace Transform Lecture 4

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Find the inverse Laplace transform for the following ? 𝒔 𝑨 𝒔 ? 𝑨 𝒔 ? ? 𝒔 + ? ? 𝒔 + ? ? 𝒔 𝒔 ? + ?𝟔 𝒔 + ? 𝒔 + ? ? + ?𝟔
Inverse Laplace transformation: Transformation from s-domain to t-domain Two ways of doing inverse Laplace transformation Using the Table of Laplace transformation Using partial fraction expansion Inverse Laplace transform

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Where A and B are polynomials, hence partial fraction must be used Based on Laplace table Based on partial fraction
Partial expansion when F(s) involves distinct poles If the highest degree of the denominator is higher than numerator, then: Take LCM of the RHS to eliminate the denominator. Then substitute s = -1 to obtain a1 or s = -2 to obtain a2.

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• Fall '13
• Bazoune
• Laplace, Complex number, inverse laplace, Inverse Laplace Transformation

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