Difference between revisions of "Laplace Command"
From GeoGebra Manual
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;Laplace[ <Function> ] | ;Laplace[ <Function> ] | ||
− | Returns the Laplace transform of the given function | + | 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}} </math> .}} | :{{example|1=<code> Laplace[sin(t)]</code> returns <math>\mathbf{\frac{1}{t^{2} + 1}} </math> .}} | ||
Revision as of 14:47, 11 July 2014
This page is about a feature that is supported only in GeoGebra 5.0. |
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.