Difference between revisions of "Laplace Command"
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| − | <noinclude>{{Manual Page|version=5.0}} | + | <noinclude>{{Manual Page|version=5.0}}{{command|cas=true|Laplace}}</noinclude> |
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==CAS Syntax== | ==CAS Syntax== | ||
| + | ;Laplace( <Function> ) | ||
| + | :Returns the [[w:Laplace_transform|Laplace transform]] of the given function | ||
| + | :{{example|1=<code> Laplace[sin(t)]</code> returns <math>\mathbf{\frac{1}{s^{2} + 1}} </math> }} | ||
| − | ;Laplace | + | ;Laplace( <Function>, <Variable> ) |
| − | + | :Returns the Laplace transform of the function, with respect to the given variable. | |
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| − | |||
| − | |||
| − | 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> 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> | + | ::<code>Laplace[sin(a*t),a]</code> returns <math>\mathbf{\frac{t}{a^{2} + t^{2}}}</math> </div> |
}} | }} | ||
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{{Note|1= See also [[InverseLaplace Command|InverseLaplace]] command.}} | {{Note|1= See also [[InverseLaplace Command|InverseLaplace]] command.}} | ||
Latest revision as of 17:16, 7 October 2017
CAS Syntax
- Laplace( <Function> )
- Returns the Laplace transform of the given function
- Example:
Laplace[sin(t)]returns \mathbf{\frac{1}{s^{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.
