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based on an earlier version of the Wolfram Language.
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GeneratedParameters

GeneratedParameters
is an option which specifies how parameters generated to represent the results of various symbolic operations should be named.
  • The setting GeneratedParameters->f specifies that successive generated parameters should be named f[1], f[2], ... .
  • In typical cases, the f[i] are used to parameterize families of solutions to equations.
  • The f[i] usually correspond to free parameters, but are also sometimes used to represent arbitrary functions.
  • The f[i] have indices that start at 1 for each invocation of a particular symbolic operation.
General solution of algebraic equation:
General solution of differential equation:
General solution of difference equation:
General solution of algebraic equation:
In[1]:=
Click for copyable input
Out[1]=
 
General solution of differential equation:
In[1]:=
Click for copyable input
Out[1]=
 
General solution of difference equation:
In[1]:=
Click for copyable input
Out[1]=
Special solutions:
Use a different symbol:
Use a subscripted symbol:
Start index at 0:
General solution to partial differential equation:
Special solution:
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