Difference between revisions of "Laplace Command"

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(Created page with "<noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|CAS}} ==CAS Syntax== ;Laplace[ <Function> ] Return the Laplace transform of the given function :{{example|1=<cod...")
 
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{{command|CAS}}
 
{{command|CAS}}
 
==CAS Syntax==
 
==CAS Syntax==
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;Laplace[ <Function> ]
 
;Laplace[ <Function> ]
 
Return the Laplace transform of the given function
 
Return the Laplace transform of the given function
:{{example|1=<code> Laplace[sin(t)]</code>  return <math>\mathbf{\frac{1}{t^{2} + 1};&#125; </math>}}
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:{{example|1=<code> Laplace[sin(t)]</code>  return <math>\mathbf{\frac{1}{t^{2} + 1};&#125; </math>.}}
  
 
;Laplace[ <Function>, <Variable> ]
 
;Laplace[ <Function>, <Variable> ]
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:{{examples|1=<div>
 
:{{examples|1=<div>
 
::<code>Laplace[sin(a*t),t]</code> return <math>\mathbf{\frac{a}{a^{2} + t^{2}&#125;&#125;</math> ;
 
::<code>Laplace[sin(a*t),t]</code> return <math>\mathbf{\frac{a}{a^{2} + t^{2}&#125;&#125;</math> ;
::<code>Laplace[sin(a*t),a]</code> return <math>\mathbf{\frac{t}{a^{2} + t^{2}&#125;&#125;</math></div>
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::<code>Laplace[sin(a*t),a]</code> return <math>\mathbf{\frac{t}{a^{2} + t^{2}&#125;&#125;</math>.</div>
 
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Revision as of 16:37, 9 July 2014

This command works in CAS View only.

CAS Syntax

Laplace[ <Function> ]

Return the Laplace transform of the given function

Example: Laplace[sin(t)] return \mathbf{\frac{1}{t^{2} + 1};} .


Laplace[ <Function>, <Variable> ]
Examples:
Laplace[sin(a*t),t] return \mathbf{\frac{a}{a^{2} + t^{2}}} ;
Laplace[sin(a*t),a] return \mathbf{\frac{t}{a^{2} + t^{2}}}.
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