Laplace transform

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Laplace transform

(Also called Laplace transformation.) An integral transform of a function obtained by multiplying the given function f(t) by e-pt, where p is a new variable, and integrating with respect to t from t = 0 to t = ∞.

Thus, the Laplace transform of f(t) is
ams2001glos-Le5
and may be denoted by the symbol F(p). The Laplace transform is especially useful in solving initial-value problems associated with inhomogeneous linear differential equations with constant coefficients.
See Fourier transform.

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