This is documentation for Mathematica 5, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)

Documentation / Mathematica / Built-in Functions / New in Version 4.x / Algebraic Computation /

LaplaceTransform

FilledSmallSquare LaplaceTransform[expr, t, s] gives the Laplace transform of expr.

FilledSmallSquare LaplaceTransform[expr, , , ... , , , ... ] gives the multidimensional Laplace transform of expr.

FilledSmallSquare The Laplace transform of a function is defined to be .

FilledSmallSquare The lower limit of the integral is effectively taken to be , so that the Laplace transform of the Dirac delta function is equal to 1.

FilledSmallSquare Assumptions and other options to Integrate can also be given in LaplaceTransform.

FilledSmallSquare In TraditionalForm, LaplaceTransform is output using .

FilledSmallSquare See Section 1.5.12 and Section 3.5.11.

FilledSmallSquare See also: InverseLaplaceTransform, FourierTransform, ZTransform, Integrate.

FilledSmallSquare New in Version 4.

Further Examples