The InitialData method is a front-end to the existing command DEtools[initialdata], which accepts a LHPDE object as the first input argument.

All optional arguments will be passed down to DEtools[initialdata].

Let S be a LHPDE object then InititalData(S, opts) is equivalent to DEtools[initialdata](GetSystem(S), GetDependents(S), opts).

The method name Initialdata is provided as an alias.

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

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

$\mathrm{Typesetting}:-\mathrm{Settings}\left(\mathrm{userep}=\mathrm{true}\right)\:$

$\mathrm{Typesetting}:-\mathrm{Suppress}\left(\left\{\mathrm{\alpha }\,\mathrm{\beta }\,\mathrm{\eta }\,\mathrm{\xi }\right\}\left(x\,y\right)\right)\:$

$S≔\mathrm{LHPDE}\left(\left[\mathrm{diff}\left(\mathrm{\xi }\left(x\,y\right)\,y\,y\right)=0\,\mathrm{diff}\left(\mathrm{\eta }\left(x\,y\right)\,x\right)=-\mathrm{diff}\left(\mathrm{\xi }\left(x\,y\right)\,y\right)\,\mathrm{diff}\left(\mathrm{\eta }\left(x\,y\right)\,y\right)=0\,\mathrm{diff}\left(\mathrm{\xi }\left(x\,y\right)\,x\right)=0\right]\,\mathrm{indep}=\left[x\,y\right]\,\mathrm{dep}=\left[\mathrm{\xi }\,\mathrm{\eta }\right]\right)$

$S≔\left[{\mathrm{\xi }}_{y,y}=0\,{\mathrm{\eta }}_x=-{\mathrm{\xi }}_y\,{\mathrm{\eta }}_y=0\,{\mathrm{\xi }}_x=0\right],\mathrm{indep}=\left[x\,y\right],\mathrm{dep}=\left[\mathrm{\xi }\,\mathrm{\eta }\right]$

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

$table\left(\left[\mathrm{Finite}=\left[\mathrm{\xi }\left(x_0\,y_0\right)=\mathrm{\_C1}\,{\mathrm{D}}_2\left(\mathrm{\xi }\right)\left(x_0\,y_0\right)=\mathrm{\_C2}\,\mathrm{\eta }\left(x_0\,y_0\right)=\mathrm{\_C3}\right]\,\mathrm{Infinite}=\left[\right]\right]\right)$

The InitialData command was introduced in Maple 2020.

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