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> ]
 
;Laplace[ <Function> ]

Revision as of 16:17, 24 June 2015


CAS Syntax

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