4.3 - Inverse Laplace Transforms

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Last updated 9:26 PM on 6/28/26
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Definition of the Inverse Laplace Transform

Given a function in the frequency domain, F(s), what function did we originally have to obtain this frequency function? In other words, what is the inverse Laplacian?

<p>Given a function in the frequency domain, F(s), what function did we originally have to obtain this frequency function? In other words, what is the inverse Laplacian? </p><p></p><p></p><p></p>
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Linearity of the Inverse Laplacian

In the same way how the normal laplacian operator conforms to the linearity principle, so too does its inverse counterpart.

<p>In the same way how the normal laplacian operator conforms to the linearity principle, so too does its inverse counterpart. </p>
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Example of Applying the Inverse Laplacian Operation

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Partial Fractions with the Inverse Laplacian

Anytime that we have a product of linear terms, we must utilize partial fractional decomposition in order to reduce the product into a sum of fractions.