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what is this? I know its denoted L[sup]-1[/sup], but what is it? actually, what is the laplace transform anyway? thanks, please help...^^
L-¹(F(s)) = f(t) means that the Laplace transform of f(t) is F(s). There is an integral you can use to compute it, but if F(s) is an elementary function it is much easier to use a table of known transforms to get the inverse. In general this is hard to do.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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