Difference between revisions of "InverseLaplace Command"
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Noel Lambert (talk | contribs) (Created page with "<noinclude>{{Manual Page|version=5.0}}</noinclude>{{betamanual|version=5.0}} {{command|CAS}} ==CAS Syntax== ;InverseLaplace[ <Function> ] Return the Inverse Laplace transf...") |
(→CAS Syntax: added description of the 2nd syntax and link to Laplace cmd) |
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;InverseLaplace[ <Function> ] | ;InverseLaplace[ <Function> ] | ||
| − | + | Returns the 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> ] | ;InverseLaplace[ <Function>, <Variable> ] | ||
| − | + | Returns the inverse Laplace transform of the function, with respect to the given variable. | |
:{{examples|1=<div> | :{{examples|1=<div> | ||
::<code>InverseLaplace[ exp(- a*b),a]</code> returns <math>\mathbf{Dirac(a-b)}</math> ; | ::<code>InverseLaplace[ exp(- a*b),a]</code> returns <math>\mathbf{Dirac(a-b)}</math> ; | ||
::<code>InverseLaplace[ exp(- a*b),b]</code> returns <math>\mathbf{Dirac(b-a)}</math>.</div> | ::<code>InverseLaplace[ exp(- a*b),b]</code> returns <math>\mathbf{Dirac(b-a)}</math>.</div> | ||
}} | }} | ||
| + | |||
| + | {{Note|1= See also [[Laplace Command|Laplace]] command.}} | ||
Revision as of 17:11, 9 July 2014
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This page is about a feature that is supported only in GeoGebra 5.0. |
This command works in CAS View only.
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.
