laplace - Laplace transform

Syntax

laplace(F)
laplace(F, t)
laplace(F, w, z)

Description

L = laplace(F) computes the Laplace transform of the symbolic expression F. This syntax assumes that F is a function of the variable t, and the returned value L as a function of s.

If F = F(s), laplace returns a function of t.

L = L(t)

By definition, the Laplace transform is

L = laplace(F,t) computes the Laplace transform L as a function of t instead of the default variable s.

L = laplace(F,w,z) computes the Laplace transform L and lets you specify that L is a function of z and F is a function of w.

Examples

syms t
f = t^4;
laplace(f)

ans =
24/s^5

syms s
g = 1/sqrt(s);
laplace(g)

ans =
pi^(1/2)/t^(1/2)

syms t a x
f = exp(-a*t);
laplace(f,x)

ans =
1/(a + x)

See Also

fourier | ilaplace | ztrans

Free Symbolic Math Interactive Kit

See how symbolic computations can help you find analytical solutions to math and engineering problems.

Get free kit

Trials Available

Try the latest version of symbolic math products.

Get trial software