GetDependents - Maple Help

GetDependents

get dependent variables of a LHPDE object

 Calling Sequence GetDependents( obj) GetDependents( obj, output = opt)

Parameters

 obj - a LHPDE object. opt - a string : either "functions" or "names"

Description

 • The GetDependents method returns a list of dependent variables for a LHPDE object.
 • The default output is a list of functions. The dependent variables can also be returned as a list of names, by specifying 'output'= "names".
 • This method is associated with the LHPDE object. For more detail, see Overview of the LHPDE object.

Examples

 > $\mathrm{with}\left(\mathrm{LieAlgebrasOfVectorFields}\right):$
 > $S≔\mathrm{LHPDE}\left(\left[\mathrm{diff}\left(u\left(x,y\right),x,x\right)-\mathrm{diff}\left(v\left(x,y\right),y,y\right)=0\right]\right)$
 ${S}{≔}\left[\frac{{{\partial }}^{{2}}}{{\partial }{{x}}^{{2}}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{u}{}\left({x}{,}{y}\right){-}\frac{{{\partial }}^{{2}}}{{\partial }{{y}}^{{2}}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{v}{}\left({x}{,}{y}\right){=}{0}\right]{,}{\mathrm{indep}}{=}\left[{x}{,}{y}\right]{,}{\mathrm{dep}}{=}\left[{u}{}\left({x}{,}{y}\right){,}{v}{}\left({x}{,}{y}\right)\right]$ (1)
 > $\mathrm{GetDependents}\left(S\right)$
 $\left[{u}{}\left({x}{,}{y}\right){,}{v}{}\left({x}{,}{y}\right)\right]$ (2)
 > $\mathrm{GetDependents}\left(S,'\mathrm{output}'="names"\right)$
 $\left[{u}{,}{v}\right]$ (3)

Compatibility

 • The GetDependents command was introduced in Maple 2020.