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
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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' = 5x - y
y' = -y + xy
Conclusion
(х, у) %3
saddle point
(х, у) %3D
unstable spiral point
(х, у) %3
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' = 5x - y y' = -y + xy Conclusion (х, у) %3 saddle point (х, у) %3D unstable spiral point (х, у) %3 unstable spiral point
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