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.

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.