Difference between revisions of "Laplace Command"
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− | <noinclude>{{Manual Page|version=5.0}}{{command|cas=true|Laplace}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}{{command|cas=true|Laplace}}</noinclude> |
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==CAS Syntax== | ==CAS Syntax== | ||
− | ;Laplace | + | ;Laplace( <Function> ) |
:Returns the [[w:Laplace_transform|Laplace transform]] of the given function | :Returns the [[w:Laplace_transform|Laplace transform]] of the given function | ||
− | :{{example|1=<code> Laplace[sin(t)]</code> returns <math>\mathbf{\frac{1}{ | + | :{{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. | :Returns the Laplace transform of the function, with respect to the given variable. | ||
:{{examples|1=<div> | :{{examples|1=<div> |
Latest revision as of 16:16, 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.