laplace - Maple Help
For the best experience, we recommend viewing online help using Google Chrome or Microsoft Edge.

Online Help

MTM

  

laplace

  

Laplace integral transform

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

laplace(M)

laplace(M,s)

laplace(M,t, s)

Parameters

M

-

array or expression

t

-

variable

s

-

variable

Description

• 

L = laplace(F) is the Laplace transform of the scalar F with default independent variable t.  If F is not a function of t, then F is  assumed to be a function of the independent variable returned by findsym(F,1).The default return is a function of s.

• 

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

• 

By definition,

where the integration above proceeds with respect to t.

• 

laplace(F,x) makes L a function of the variable x instead of the default s.

• 

laplace(F,z,x) makes L a function of x instead of the default s. The integration is then with respect to z.

• 

The laplace(M) function computes the element-wise Laplace transform of M.  The result, R, is formed as R[i,j] = laplace(M[i,j]).

Examples

(1)

(2)

(3)

(4)

(5)

See Also

inttrans[laplace]

MTM[findsym]

MTM[fourier]

MTM[ilaplace]

MTM[ztrans]

 


Download Help Document