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10 Only Possible Solution of Affine Difference Equation
The ten possible types of solutions to affine difference equation
are sorted in the table below.
|
No |
Type of Solution |
Cases |
|
|
1. |
Constant |
|
|
|
2. |
Linearly increasing without bound |
|
|
|
3. |
Linearly decreasing without bound |
|
|
|
4. |
Exponentially increasing without bound |
|
|
|
5. |
Exponentially decreasing without bound |
|
|
|
6. |
Exponentially increasing to a bound |
|
|
|
7. |
Exponentially decreasing to a bound |
|
|
|
8. |
Oscillating with constant amplitude |
|
|
|
9. |
Oscillating with increasing amplitude |
|
|
|
10. |
Oscillating with decreasing amplitude |
|
|
,
,
,
,
,
,
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Preferable reference for this tutorial is
Teknomo, Kardi (2015) Difference Equation Tutorial. https:\\people.revoledu.com\kardi\ tutorial\DifferenceEquation\