Category:Examples of Laplace Transforms

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This category contains examples of Laplace Transform.

Let $f: \R_{\ge 0} \to \mathbb F$ be a function of a real variable $t$, where $\mathbb F \in \set {\R, \C}$.

The Laplace transform of $f$, denoted $\laptrans f$ or $F$, is defined as:

$\laptrans {\map f t} = \map F s = \displaystyle \int_0^{\to +\infty} e^{-s t} \map f t \rd t$

whenever this improper integral converges.

If this improper integral does not converge, then $\laptrans {\map f t}$ does not exist.

Subcategories

This category has the following 2 subcategories, out of 2 total.

Pages in category "Examples of Laplace Transforms"

The following 37 pages are in this category, out of 37 total.