Laplace transform.
Syntax
laplace(F)
laplace(F,t)
fourier(F,w,z)
Description
L = laplace(F) is the Laplace transform of the scalar symbol F with default independent variable t. The default return is a function of s. The Laplace transform is applied to a function of t and returns a function of s.
If F = F(s), laplace returns a function of t.
By definition
where t is the symbolic variable in F as determined by findsym.
L = laplace(F,t) makes L a function of t instead of the default s.
Here L is returned as a scalar symbol.
L = laplace(F,w,z) makes L a function of z and F a function of w instead of the default variables s and t, respectively.
Examples
Laplace Transform |
MATLAB Command |
|
f = t^4
laplace(f)
returns
24/s^5
|
|
g = 1/sqrt(s)
laplace(g)
returns
1/s^(1/2)*pi^(1/2)
|
|
f = exp(-a*t)
laplace(f,x)
returns
1/(x + a)
|
|
f = 1 - cos(t*v)
laplace(f,v,x)
returns
1/x-x/(x^2+t^2)
|
See Also
fourier, ilaplace, ztrans
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