Difference between revisions of "InverseLaplace Command"
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==CAS Syntax== | ==CAS Syntax== | ||
;InverseLaplace[ <Function> ] | ;InverseLaplace[ <Function> ] | ||
| − | :Returns the inverse Laplace transform of the given function. | + | :Returns the [[w:Inverse Laplace transform|inverse Laplace transform]] of the given function. |
:{{example|1=<code> InverseLaplace[1/(1+t^2)]</code> returns <math>\mathbf{ sin(t)} </math>.}} | :{{example|1=<code> InverseLaplace[1/(1+t^2)]</code> returns <math>\mathbf{ sin(t)} </math>.}} | ||
;InverseLaplace[ <Function>, <Variable> ] | ;InverseLaplace[ <Function>, <Variable> ] | ||
Revision as of 09:36, 24 August 2015
CAS Syntax
- InverseLaplace[ <Function> ]
- Returns the inverse Laplace transform of the given function.
- Example:
InverseLaplace[1/(1+t^2)]returns \mathbf{ sin(t)} .
- InverseLaplace[ <Function>, <Variable> ]
- Returns the inverse Laplace transform of the function, with respect to the given variable.
- Examples:
InverseLaplace[ exp(- a*b),a]returns \mathbf{Dirac(a-b)}InverseLaplace[ exp(- a*b),b]returns \mathbf{Dirac(b-a)}
Note: See also Laplace command.
