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LREtools[REtoDE] - convert a recurrence into a differential equation
Calling Sequence
REtoDE(problem, f(z))
REtoDE(problem, f(z), output=val)
Parameters
problem
-
either a RESol recurrence structure, or a recurrence definition
f(z)
name and variable of the function
output=val
form of the output, where output=DESol or output=diff
Description
This routine returns the differential operator or differential equation satisfied by the generating function associated to the recurrence. This operator is returned as either a DESol operator or a differential equation (both possibly with initial conditions). No attempt is made to explicitly solve the result.
For the definition of the format of a problem, see the help page for LREtools[REcreate]. The problem can be an RESol structure resulting from a call to LREtools[REcreate].
The output option val can be either DESol which requests operator output (the default) or diff which requests the output in terms of a differential system.
Note: In some cases initial conditions are also needed, so the output=diff result is returned as a set. If no initial conditions are needed, the output is a single ODE.
Examples
An example with conditions:
See Also
DESol, dsolve, LREtools, LREtools[REcreate], RESol, rsolve
Download Help Document