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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, y) = (x, y) = (x, y) = (x, y) = (x, y) = x' = x(1x²8y²) y' = y(8x28y²) X X Conclusion saddle point -Select--- -Select--- --Select--- ---Select-- v 0088 √OO!

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, y) = (x, y) = (x, y) = (x, y) = (x, y) = x' = x(1x²8y²) y' = y(8x28y²) X X Conclusion saddle point -Select--- -Select--- --Select--- ---Select-- v 0088 √OO!

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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Need help with the points and classifications, thanks!

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, y) = (x, y) = (x, y) = (x, y) = (x, y) = x' = x(1x² - 8y²) y' = y(8 - x² - 8y²) X X Conclusion saddle point ---Select--- ---Select--- ---Select--- ---Select--- + X ... no n!
Transcribed Image Text: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, y) = (x, y) = (x, y) = (x, y) = (x, y) = x' = x(1x² - 8y²) y' = y(8 - x² - 8y²) X X Conclusion saddle point ---Select--- ---Select--- ---Select--- ---Select--- + X ... no n!
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