DocumentationMathematicaBuilt-in FunctionsNew in Version 4.xAlgebraic Computation
InverseLaplaceTransform[expr, s, t] gives the inverse Laplace transform of expr.
InverseLaplaceTransform[expr, , , ... , , , ... ] gives the multidimensional inverse Laplace transform of expr.
The inverse Laplace transform of a function is defined to be , where is an arbitrary positive constant chosen so that the contour of integration lies to the right of all singularities in .
Assumptions and other options to Integrate can also be given in InverseLaplaceTransform.
In TraditionalForm, InverseLaplaceTransform is output using .
See Section 1.5.12 and Section 3.5.11.
See also: LaplaceTransform, InverseFourierTransform, InverseZTransform, Integrate.
New in Version 4.