extracts the derivation operator of a derivative
FactorDerivative(v, R, opts)
a differential polynomial ring or ideal
a sequence of options
The opts arguments may contain one or more of the options below.
notation = jet, tjet, diff or Diff. Specifies the notation used for the result of the function call. If not specified, the notation of v is used.
memout = nonnegative. Specifies a memory limit, in MB, for the computation. Default is zero (no memory out).
The function call FactorDerivative(v,R) returns a sequence θ, u such that θ is the derivation operator, and, u is the dependent variable, associated to u (see DifferentialAlgebra). The argument v must be a derivative of R, or of its embedding ring if R is an ideal.
This command is part of the DifferentialAlgebra:-Tools package. It can be called using the form FactorDerivative(...) after executing the command with(DifferentialAlgebra:-Tools). It can also be directly called using the form DifferentialAlgebra[Tools][FactorDerivative](...).
R := DifferentialRing(derivations=[x,y], blocks=[[v,u],p], parameters=[p]);
theta, indep := FactorDerivative(u[x,y], R);
Differentiate(indep, theta, R);
FactorDerivative(diff(u(x,y),x), R, notation=diff);
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