Laplace transform

Laplace transform

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 e^−pt 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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Laplace transform [lə′pläs ′trans‚fȯrm]

(mathematics)

For a function ƒ(x) its Laplace transform is the functionF(y) defined as the integral overxfrom 0 to ∞ of the functione^-yxƒ(x).