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' = xy – 4y – 5 y' = y2. - Conclusion (х, у) %3D stable spiral point (х, у) %3D unstable spiral point

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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' %3D ху — 4у — 5
y' = y2
,2
- X
Conclusion
(х, у) %3D
stable spiral point
(х, у) %3D
unstable spiral point
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' %3D ху — 4у — 5 y' = y2 ,2 - X Conclusion (х, у) %3D stable spiral point (х, у) %3D unstable spiral point
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