The GetIndependents method returns a list of independent variables for a LHPDE or LHPDO object.

This method is associated with the LHPDE and LHPDO objects. For more detail, see Overview of the LHPDE object and Overview of the LHPDO object.

$\mathrm{with}\left(\mathrm{LieAlgebrasOfVectorFields}\right)\:$

$S≔\mathrm{LHPDE}\left(\left[\mathrm{diff}\left(u\left(x\,y\right)\,x\,x\right)-\mathrm{diff}\left(v\left(x\,y\right)\,y\,y\right)=0\right]\right)$

$S≔\left[\frac{{\partial }^2}{\partial x^2}u\left(x\,y\right)-\frac{{\partial }^2}{\partial y^2}v\left(x\,y\right)=0\right],\mathrm{indep}=\left[x\,y\right],\mathrm{dep}=\left[u\left(x\,y\right)\,v\left(x\,y\right)\right]$

$\mathrm{GetIndependents}\left(S\right)$

$\left[x\,y\right]$

$\mathrm{\Delta }≔\mathrm{LHPDO}\left(S\right)$

$\mathrm{\Delta }≔\left(u\,v\right)\→\left[\frac{\partial }{\partial x}\left(\frac{\partial }{\partial x}u\right)-\left(\frac{\partial }{\partial y}\left(\frac{\partial }{\partial y}v\right)\right)\right]$

$\mathrm{GetIndependents}\left(\mathrm{\Delta }\right)$

$\left[x\,y\right]$

The GetIndependents command was introduced in Maple 2020.

For more information on Maple 2020 changes, see Updates in Maple 2020.