Difference between revisions of "Laplace Command"
From GeoGebra Manual
Noel Lambert (talk | contribs) |
(→CAS Syntax: added description of the 2nd syntax) |
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;Laplace[ <Function> ] | ;Laplace[ <Function> ] | ||
− | + | Returns the Laplace transform of the given function | |
− | :{{example|1=<code> Laplace[sin(t)]</code> | + | :{{example|1=<code> Laplace[sin(t)]</code> returns <math>\mathbf{\frac{1}{t^{2} + 1};} </math>.}} |
;Laplace[ <Function>, <Variable> ] | ;Laplace[ <Function>, <Variable> ] | ||
− | + | Returns the Laplace transform of the function, with respect to the given variable. | |
:{{examples|1=<div> | :{{examples|1=<div> | ||
− | ::<code>Laplace[sin(a*t),t]</code> | + | ::<code>Laplace[sin(a*t),t]</code> returns <math>\mathbf{\frac{a}{a^{2} + t^{2}}}</math> ; |
− | ::<code>Laplace[sin(a*t),a]</code> | + | ::<code>Laplace[sin(a*t),a]</code> returns <math>\mathbf{\frac{t}{a^{2} + t^{2}}}</math>.</div> |
}} | }} |
Revision as of 16:08, 9 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}}}.