Laplace transform


La·place transform

noun \lə-ˈpläs-, -ˈplas-\

Definition of LAPLACE TRANSFORM

:  a transformation of a function f(x) into the function that is useful especially in reducing the solution of an ordinary linear differential equation with constant coefficients to the solution of a polynomial equation

Origin of LAPLACE TRANSFORM

Pierre Simon, Marquis de Laplace
First Known Use: 1942

Laplace transform

noun    (Concise Encyclopedia)

In mathematics, an integral transform useful in solving differential equations. The Laplace transform of a function is found by integrating the product of that function and the exponential function ept over the interval from zero to infinity. The Laplace transform's applications include solving linear differential equations with constant coefficients and solving boundary value problems, which arise in calculations relating to physical systems.

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