Difference between revisions of "Laplace Command"
From GeoGebra Manual
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Noel Lambert (talk | contribs) m (typo) |
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;Laplace[ <Function> ] | ;Laplace[ <Function> ] | ||
Returns the Laplace transform of the given function | Returns the Laplace transform of the given function | ||
| − | :{{example|1=<code> Laplace[sin(t)]</code> returns <math>\mathbf{\frac{1}{t^{2} + 1} | + | :{{example|1=<code> Laplace[sin(t)]</code> returns <math>\mathbf{\frac{1}{t^{2} + 1}} </math> .}} |
;Laplace[ <Function>, <Variable> ] | ;Laplace[ <Function>, <Variable> ] | ||
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:{{examples|1=<div> | :{{examples|1=<div> | ||
::<code>Laplace[sin(a*t),t]</code> returns <math>\mathbf{\frac{a}{a^{2} + t^{2}}}</math> ; | ::<code>Laplace[sin(a*t),t]</code> returns <math>\mathbf{\frac{a}{a^{2} + t^{2}}}</math> ; | ||
| − | ::<code>Laplace[sin(a*t),a]</code> returns <math>\mathbf{\frac{t}{a^{2} + t^{2}}}</math>.</div> | + | ::<code>Laplace[sin(a*t),a]</code> returns <math>\mathbf{\frac{t}{a^{2} + t^{2}}}</math> .</div> |
}} | }} | ||
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
- 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}}} .
