Difference between revisions of "Laplace Command"
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;Laplace[ <Function> ] | ;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[ <Function>, <Variable> ] | ;Laplace[ <Function>, <Variable> ] | ||
Revision as of 13:38, 24 July 2015
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.
