Definition of Laplace Transform

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I don't understand, even after reading the Wikipedia page, what exactly a "Laplace Transform" is. Apparently it is related to differential equations. It also doesn't seem to be a verb, but rather a characteristic of functions?

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Well this question is fairly broad but hopefully I can provide some insight. So the Laplace transform of a function $f(t)$ is denoted by $\mathcal{L}(f(t))$ is used in differential equations to transform it into something more algebraic. In your standard ordinary differential equations you will learn the Laplace transform and is useful in electrical engineering (so I'm told someone can correct me later). Yeah check the Wikipedia in the comments but in general $\mathcal{L}(f(t))=\int_{0}^{\infty}e^{-st}f(t)\text{d}t$ this supposedly comes from Fourier series something else that you should look up.