LAPLACE :: Laplace Tranceform

maxima_laplace

Function: laplace (expr, t, s)

• The Laplace transform of expr with respect to the variable t and transform parameter s.

Example:

Delta Function
(%i) laplace(delta(t), t, s);
(%o) 1
Unit Step Function
(%i) laplace(1, t, s);
(%o) 1/s
(%i) laplace(unit_step(t-1),t,s);
(%o) %e^-s/s
Trigonometric Function
(%i) laplace(sin(t), t, s);
(%o) 1/(s^2+1)
(%i) laplace(cos(t), t, s);
(%o) s/(s^2+1)
Exponential Function
(%i) laplace(%e^(-a*t),t,s);
(%o) 1/(s+a)
(%i) laplace(%e^(-a*t)*t^2, t, s);
(%o) 2/(s+a)^3

See Also ...

• MAXIMA :: ILT ... Inverse Laplace Tranceform

maxima_laplace