How to reverse a complex transform using partial fractions
In short: When a rational function is too complex for direct inversion, mathematicians use decomposition to simplify the problem. This video demonstrates how to break down repeated linear factors into manageable pieces.
The video explores a specific technique for computing Inverse Laplace Transforms when the given function does not match standard forms in a transform table. By applying Partial Fraction Decomposition, the complex expression is broken into simpler components that are easier to handle individually.
Specifically, the example focuses on functions involving repeated linear factors. Once decomposed, the final result is found by combining known transforms from a Laplace table with the translation property.
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- Summary by Intellect · source: Inverse Laplace Transform Example using Partial Fractions
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