Inverse Laplace transform.
Syntax
F = ilaplace(L)
F = ilaplace(L,y)
F = ilaplace(L,y,x)
Description
F = ilaplace(L) is the inverse Laplace transform of the scalar symbolic object L with default independent variable s. The default return is a function of t. The inverse Laplace transform is applied to a function of s and returns a function of t.
If L = L(t), ilaplace returns a function of x.
By definition
where c is a real number selected so that all singularities of L(s) are to the left of the line s = c, i.
F = ilaplace(L,y) makes F a function of y instead of the default t.
Here y is a scalar symbolic object.
F = ilaplace(L,y,x) takes F to be a function of x and L a function of y instead of the default variables t and s, respectively.
Examples
Inverse Laplace Transform |
MATLAB Command |
|
f = 1/s^2
ilaplace(f)
returns
t
|
|
g = 1/(t-a)^2
ilaplace(g)
returns
x*exp(a*x)
|
|
f = 1/(u^2-a^2)
ilaplace(f,x)
returns
1/2/a*exp(a*x)-1/2/a*exp(-a*x)
|
|
f = s^3*v/(s^2+v^2)
laplace(f,v,x)
returns
s^3*cos(s*x)
|
See Also
ifourier, iztrans, laplace
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