Laplace transform

In mathematics and in particular, in functional analysis, the Laplace transform of a function f(t) defined for all real numbers t ≥ 0 is the function F(s), defined by:

f(t - a) u(t - a)

:Note: u(t) is the step function.

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• $n$th-power shifting

: mathcal{L}{,t^nf(t)} = (-1)^nD_s^n

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• Convolution

: mathcal{L}{f * g}

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