InverseLaplaceTransform

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 The Mathematica Book: Section 1.5.11 and Section 3.5.11.

See also: LaplaceTransform, InverseFourierTransform, InverseZTransform, Integrate.

Further Examples