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could anyone explain the concept of laplace transforms? and maybe give a couple of examples.
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Laplace transform explanation (NO formulas) EXPLANATION ! A It turns out every not-growing-too-fast function on positive half line is actually a sum of decreasing exponential functions. Diffrent function have different rates of decrese B The WEIGHT of each single exponential in the REPRESENTED function is the corresopnding coefficient
What's so useful about it ?
It is useful because if your function is a sum of exponentials then it is very simple to derivate and to integrate it, thus solving linear differential equation easily.
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