Difference between revisions of "Laplace Command"

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<noinclude>{{Manual Page|version=5.0}}{{command|cas=true|Laplace}}</noinclude>{{betamanual|version=5.0}}
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<noinclude>{{Manual Page|version=5.0}}{{command|cas=true|Laplace}}</noinclude>
 
 
 
==CAS Syntax==
 
==CAS Syntax==
;Laplace[ <Function> ]
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;Laplace( <Function> )
 
:Returns the [[w:Laplace_transform|Laplace transform]]  of the given function
 
:Returns the [[w:Laplace_transform|Laplace transform]]  of the given function
:{{example|1=<code> Laplace[sin(t)]</code>  returns <math>\mathbf{\frac{1}{t^{2} + 1}&#125; </math> }}
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:{{example|1=<code> Laplace[sin(t)]</code>  returns <math>\mathbf{\frac{1}{s^{2} + 1}&#125; </math> }}
  
;Laplace[ <Function>, <Variable> ]
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;Laplace( <Function>, <Variable> )
 
:Returns the Laplace transform of the function, with respect to the given variable.
 
:Returns the Laplace transform of the function, with respect to the given variable.
 
:{{examples|1=<div>
 
:{{examples|1=<div>

Latest revision as of 16:16, 7 October 2017


CAS Syntax

Laplace( <Function> )
Returns the Laplace transform of the given function
Example: Laplace[sin(t)] returns \mathbf{\frac{1}{s^{2} + 1}}


Laplace( <Function>, <Variable> )
Returns the Laplace transform of the function, with respect to the given variable.
Examples:
Laplace[sin(a*t),t] returns \mathbf{\frac{a}{a^{2} + t^{2}}}
Laplace[sin(a*t),a] returns \mathbf{\frac{t}{a^{2} + t^{2}}}
Note: See also InverseLaplace command.
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