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diffalg[differentiate] - differentiate a differential polynomial

Calling Sequence

differentiate (q, ders, R)

Parameters

q

-

differential polynomial

ders

-

sequence of derivations, possibly empty

R

-

differential polynomial ring

Description

• 

Important: The diffalg package has been deprecated. Use the superseding package DifferentialAlgebra instead.

• 

The command differentiate computes the successive derivatives of the differential polynomial  q that belongs to R according to the  elements of ders. The elements of ders must be derivations of R.

• 

The command with(diffalg,differentiate) allows the use of the abbreviated form of this command.

Examples

Important: The diffalg package has been deprecated. Use the superseding package DifferentialAlgebra instead.

withdiffalg:

R:=differential_ringderivations=x,y,ranking=u,v

R:=PDE_ring

(1)

differentiateux,x2+ux,x,R

2ux,xux,x,x+ux,x

(2)

differentiateux,y,x,y,R

ux,x,y,y

(3)

See Also

diffalg(deprecated), diffalg(deprecated)/differential_algebra, diffalg(deprecated)/differential_ring, DifferentialAlgebra[Tools][Differentiate]


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