DEtools - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Differential Equations : DEtools : Differential Operators : DEtools/de2diffop

DEtools

  

de2diffop

  

convert a differential equation to a differential operator

  

diffop2de

  

convert a differential operator to a differential equation

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

de2diffop(eqn, dvar, domain)

diffop2de(L, dvar, domain)

Parameters

eqn

-

homogeneous linear differential equation

dvar

-

dependent variable

L

-

differential operator

domain

-

(optional if _Envdiffopdomain is set) list containing two names

Description

• 

An element L in C(x)[Dx] corresponds to a linear homogeneous differential equation Lyx=0. These two procedures convert between the operator L and the equation Lyx. See also the help page diffop on linear differential operators.

• 

The argument domain describes the differential algebra. If this argument is the list Dx,x then the differential operators are notated with the symbols Dx and x. They are viewed as elements of the differential algebra C(x)[Dx] where C is the field of constants.

• 

If the argument domain is omitted then the differential specified by the environment variable _Envdiffopdomain will be used. If this environment variable is not set then the argument domain may not be omitted.

• 

These functions are part of the DEtools package, and so they can be used in the form de2diffop(..) and diffop2de(..) only after executing the command with(DEtools).  However, they can always be accessed through the long form of the command by using DEtools[de2diffop](..) or DEtools[diffop2de](..).

Examples

withDEtools:

_EnvdiffopdomainDx,x:

LDx2+x

LDx2+x

(1)

diffop2deL,yx

xyx+ⅆ2ⅆx2yx

(2)

de2diffop,yx

Dx2+x

(3)

See Also

diffop