Difference between revisions of "Laplace Command"

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;Laplace[ <Function> ]
 
;Laplace[ <Function> ]
Returns the Laplace transform of the given function
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Returns the [[w:http://en.wikipedia.org/wiki/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> .}}
 
:{{example|1=<code> Laplace[sin(t)]</code>  returns <math>\mathbf{\frac{1}{t^{2} + 1}&#125; </math> .}}
  

Revision as of 14:47, 11 July 2014

This command works in CAS View only.

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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