DifferentialAlgebra[Tools]
FactorDerivative
extracts the derivation operator of a derivative
Calling Sequence
Parameters
Options
Description
Examples
FactorDerivative(v, R, opts)
v
-
a derivative
R
a differential polynomial ring or ideal
opts (optional)
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](...).
with(DifferentialAlgebra): with(Tools):
R := DifferentialRing(derivations=[x,y], blocks=[[v,u],p], parameters=[p]);
R≔differential_ring
theta, indep := FactorDerivative(u[x,y], R);
θ,indep≔x⁢y,u
Differentiate(indep, theta, R);
ux,y
FactorDerivative(u, R);
1,u
FactorDerivative(diff(u(x,y),x), R, notation=diff);
x,u⁡x,y
See Also
DifferentialAlgebra
Differentiate
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