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BUILT-IN MATHEMATICA SYMBOL

GeneratedParameters

GeneratedParameters
is an option that 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 are used to parameterize families of solutions to equations.

The usually correspond to free parameters, but are also sometimes used to represent arbitrary functions.

The have indices that start at 1 for each invocation of a particular symbolic operation.

GeneratedParameters->(Module[{C}, C]&) guarantees that parameters are unique, even across different invocations of a function.

GeneratedParameters is an option to such functions as DSolve, RSolve, and Reduce.

General solution of algebraic equation:

General solution of differential equation:

General solution of difference equation:

General solution of algebraic equation:

Out[1]=

General solution of differential equation:

Out[1]=

General solution of difference equation:

Out[1]=

Special solutions:

Use a different symbol:

Use a subscripted symbol:

Start index at 0:

General solution to partial differential equation:

Special solution: