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Inverse Laplace Transform and Partial Fraction Decomposition [Process Dynamics and Control]
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We loosely define inverse Laplace transforms, resorting to tabulated values with examples, and introduced partial fraction expansion by Heaviside expansion or the cover-up method.
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References:
Seborg, D. E., Edgar, T. F., Mellichamp, D. A., & Doyle, F. J. (2016). Process Dynamics and Control (4th ed.). Wiley.
Zill, D. G. (2016). Advanced Engineering Mathematics (6th edition). Jones & Bartlett Learning.
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%%% CHAPTERS %%%
00:00 Intro
00:23 Definition of inverse Laplace transform
02:00 Tabulated values
02:52 Example: inverse Laplace transform
05:28 Term-wise division and linearity
08:15 Partial fractions and linearity
13:41 Heaviside expansion (cover-up method)
20:22 Example: cover-up method
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References:
Seborg, D. E., Edgar, T. F., Mellichamp, D. A., & Doyle, F. J. (2016). Process Dynamics and Control (4th ed.). Wiley.
Zill, D. G. (2016). Advanced Engineering Mathematics (6th edition). Jones & Bartlett Learning.
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%%% CHAPTERS %%%
00:00 Intro
00:23 Definition of inverse Laplace transform
02:00 Tabulated values
02:52 Example: inverse Laplace transform
05:28 Term-wise division and linearity
08:15 Partial fractions and linearity
13:41 Heaviside expansion (cover-up method)
20:22 Example: cover-up method
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