Classify (if possible) each critical point of the given plane autonomous system as a stable node, a stable spiral point, an unstable spiral point, an unstable node, or a saddle point. (Order your answers from smallest to largest x, then from smallest to largest y.) x' = 5x – y2 y' = -y + xy Conclusion (х, у) %3D saddle point (х, у) %3 unstable spiral point (x, y) = unstable spiral point
Classify (if possible) each critical point of the given plane autonomous system as a stable node, a stable spiral point, an unstable spiral point, an unstable node, or a saddle point. (Order your answers from smallest to largest x, then from smallest to largest y.) x' = 5x – y2 y' = -y + xy Conclusion (х, у) %3D saddle point (х, у) %3 unstable spiral point (x, y) = unstable spiral point
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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