(This will be expanded in later sections)
- Guess the answer, prove it by induction
- try special values, like 0 or 1
- try to fit to most common patterns (listed above)
- try geometric series solutions or polynomials (when appropriate)
- Finding simple solutions that generate all possible solutions.
(``repertoire'' method). This is particularly appropriate
when the sum of two distinct solutions is another solution,
or when solutions multiplied by a constant form another solution.