Difference between revisions of "InverseLaplace Command"
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
− | ;InverseLaplace | + | ;InverseLaplace( <Function> ) |
− | :Returns the inverse Laplace transform of the given function. | + | :Returns the [[w:Inverse Laplace transform|inverse Laplace transform]] of the given function. |
:{{example|1=<code> InverseLaplace[1/(1+t^2)]</code> returns <math>\mathbf{ sin(t)} </math>.}} | :{{example|1=<code> InverseLaplace[1/(1+t^2)]</code> returns <math>\mathbf{ sin(t)} </math>.}} | ||
− | ;InverseLaplace | + | ;InverseLaplace( <Function>, <Variable> ) |
:Returns the inverse Laplace transform of the function, with respect to the given variable. | :Returns the inverse Laplace transform of the function, with respect to the given variable. | ||
:{{examples|1=<div> | :{{examples|1=<div> |
Latest revision as of 17:15, 7 October 2017
CAS Syntax
- InverseLaplace( <Function> )
- Returns the inverse Laplace transform of the given function.
- Example:
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)}
Note: See also Laplace command.