Difference between revisions of "InverseLaplace Command"
From GeoGebra Manual
(→CAS Syntax: added description of the 2nd syntax and link to Laplace cmd) |
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| − | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{betamanual|version=5.0}} | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true}}{{betamanual|version=5.0}} |
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==CAS Syntax== | ==CAS Syntax== | ||
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;InverseLaplace[ <Function> ] | ;InverseLaplace[ <Function> ] | ||
| − | Returns the inverse Laplace transform of the given 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>.}} |
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;InverseLaplace[ <Function>, <Variable> ] | ;InverseLaplace[ <Function>, <Variable> ] | ||
| − | Returns the inverse Laplace transform of the function, with respect to the given 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> | + | ::<code>InverseLaplace[ exp(- a*b),b]</code> returns <math>\mathbf{Dirac(b-a)}</math></div> |
}} | }} | ||
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{{Note|1= See also [[Laplace Command|Laplace]] command.}} | {{Note|1= See also [[Laplace Command|Laplace]] command.}} | ||
Revision as of 08:53, 28 July 2014
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This page is about a feature that is supported only in GeoGebra 5.0. |
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.
