LaplaceTransform

Usage

• LaplaceTransform[expr, t, s] gives the Laplace transform of expr.
• LaplaceTransform[expr, {, , ... }, {, , ... }] gives the multidimensional Laplace transform of expr.

Notes

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

• 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.

• In TraditionalForm, LaplaceTransform is output using .

Further Examples