Laplace Command

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CAS Syntax

Laplace[ <Function> ]
Returns the Laplace transform of the given function
Example: Laplace[sin(t)] returns \mathrm{\mathsf{ \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 \mathrm{\mathsf{ \mathbf{\frac{a}{a^{2} + t^{2}}} }}
Laplace[sin(a*t),a] returns \mathrm{\mathsf{ \mathbf{\frac{t}{a^{2} + t^{2}}} }}
Note: See also InverseLaplace command.
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