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.

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

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

InverseLaplace( <Function>, <Original Variable>, <Transformed Variable> ): Returns the inverse Laplace transform of the given function with respect to the original variable, expressed in terms of the transformed variable.

InverseLaplace(1/(s^2+1),s,x) returns \(\mathbf{ sin(x)}\)