attracting, repelling, or neutral. For racting basin.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:Let F(x) = -r³ + 2x. Find all fixed points and classify them
as attracting, repelling, or neutral. For each attracting fixed point, find its
attracting basin.
Expert Solution
Step 1
Fixed point existence:
Assume that the function has a fixed point at . Then is as follows:
If , the test is inconclusive, and the fixed point at z0 is said to be neutral. If , the function is repelling, similarly, If , the function is attracting.
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