Dynamical Systems with Applications using Python by Stephen Lynch

Author:Stephen Lynch
Language: eng
Format: epub, pdf
ISBN: 9783319781457
Publisher: Springer International Publishing

In applications, one would like to know how this sequence can be interpreted in physical terms. Equations of the form (13.1) are called first-order difference equations because the suffices differ by one. Consider the following simple example.

Example 1.

The difference equation used to model the interest in a bank account compounded once per year is given by

Find a general solution and determine the balance in the account after five years given that the initial deposit is 10,000 dollars and the interest is compounded annually.

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