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Problem 6. Find all constant solutions of the autonomous ODE y = (y? – 1) (y? – 4) and determine whether these solutions are respectively attractors, repellers, or neither.

Problem 6. Find all constant solutions of the autonomous ODE y = (y? – 1) (y? – 4) and determine whether these solutions are respectively attractors, repellers, or neither.

Advanced Engineering Mathematics
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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**Problem 6.** Find all constant solutions of the autonomous ODE \( y' = (y^2 - 1)(y^2 - 4) \) and determine whether these solutions are respectively attractors, repellers, or neither.
Transcribed Image Text:**Problem 6.** Find all constant solutions of the autonomous ODE \( y' = (y^2 - 1)(y^2 - 4) \) and determine whether these solutions are respectively attractors, repellers, or neither.
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