Laplace Command

CAS Syntax

Laplace( <Function> )

Returns the Laplace transform of the given function

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 \(\mathbf\{\frac{t}\{a^\{2} + t^\{2}}}\)

See also InverseLaplace command.