Laplace Command

CAS Syntax

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

Laplace( <Function>, <Original Variable>, <Transformed Variable> ): Returns the Laplace transform of the given function with respect to the original variable, expressed in terms of the transformed variable.

Laplace(sin(a*t),t,s) returns \(\mathbf{\frac{a}{a^{2} + s^{2}}}\)

Laplace(sin(a*t),a,b) returns \(\mathbf{\frac{t}{b^{2} + t^{2}}}\)