diffalg(deprecated)/differentiate - Maple Help

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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.

 > $\mathrm{with}\left(\mathrm{diffalg}\right):$
 > $R≔\mathrm{differential_ring}\left(\mathrm{derivations}=\left[x,y\right],\mathrm{ranking}=\left[u,v\right]\right)$
 ${R}{≔}{\mathrm{PDE_ring}}$ (1)
 > $\mathrm{differentiate}\left({u\left[x,x\right]}^{2}+u\left[x\right],x,R\right)$
 ${2}{}{{u}}_{{x}{,}{x}}{}{{u}}_{{x}{,}{x}{,}{x}}{+}{{u}}_{{x}{,}{x}}$ (2)
 > $\mathrm{differentiate}\left(u\left[x,y\right],x,y,R\right)$
 ${{u}}_{{x}{,}{x}{,}{y}{,}{y}}$ (3)