InverseLaplace Command

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CAS Syntax

InverseLaplace( <Function> )
Returns the inverse Laplace transform of the given function.
Example: InverseLaplace[1/(1+t^2)] returns \mathrm{\mathsf{ \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 \mathrm{\mathsf{ \mathbf{Dirac(a-b)} }}
InverseLaplace[ exp(- a*b),b] returns \mathrm{\mathsf{ \mathbf{Dirac(b-a)} }}
Note: See also Laplace command.
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