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- Rational difference equation
Posted by : Aron
четвъртък, 21 февруари 2013 г.
Rational difference equation
From Wikipedia, the free encyclopedia
A rational difference equation is a nonlinear difference equation of the form[1][2]
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[edit]First-order rational difference equation
A first-order rational difference equation is a nonlinear difference equation of the form
Such an equation can be solved by writing as a nonlinear transformation of another variable which itself evolves linearly. Then standard methods can be used to solve the linear difference equation in .
[edit]Solving a first-order equation
[edit]First approach
One approach [3] to developing the transformed variable , when , is to write
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