InverseLaplace Command

CAS Syntax

InverseLaplace( <Function> ): Returns the inverse Laplace transform of the given function.

InverseLaplace[1/(1+t^2)] returns \(\mathbf\{ sin(t)} \).

InverseLaplace( <Function>, <Variable> ): Returns the inverse Laplace transform of the function, with respect to the given variable.

Examples:

InverseLaplace[ exp(- a*b),a] returns \(\mathbf\{Dirac(a-b)}\)

InverseLaplace[ exp(- a*b),b] returns \(\mathbf\{Dirac(b-a)}\)