SYM Paclet Symbol

KnownFunctions

KnownFunctions
is an option for ClassicalSymmetries, DeterminingEqs and SolveOverdeterminedEqs that provides a list of function names that will be treated as known by them.

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To use KnownFunctions, you first need to load the SYM Package using Needs["SYM`"].

KnownFunctions is by default set to the value of the global variable $KnownFunctions.

By using this option, the functions indicated will not be considered when simplifying or solving the overdetermined system of differential equations. Hence no clasification of the symmetries for those functions will take place. The symmetries returned will depend on those functions.

Let the following ODE containing a function a(x):

In[2]:=

Out[2]=

By default, ClassicalSymmetries will attempt to provide a classification of the symmetries of the ODE by taking into account specific forms that the function a might take:

In[3]:=

Out[3]=

By denoting the function a as a "known" only a general set of symmetries is returned the coeeficients of which contain this function.

In[4]:=

Out[4]=