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[ <Function> ]
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;InverseLaplace( <Function> )
:Returns the inverse Laplace transform of the given function.
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: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[ <Function>, <Variable> ]
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;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.
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