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6. Classify any critical points of the first-order autonomous differential equation = x – 3x + 2 as either asymptotically stable or unstable. dt x' = 2x – 2y 7. Classify the critical point at the origin for the linear system y' = 3x + 2y doto

6. Classify any critical points of the first-order autonomous differential equation = x – 3x + 2 as either asymptotically stable or unstable. dt x' = 2x – 2y 7. Classify the critical point at the origin for the linear system y' = 3x + 2y doto

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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6. Classify any critical points of the first-order autonomous differential equation = x – 3x + 2 as either asymptotically stable or unstable. dt x' = 2x – 2y y' = 3x + 2y do t 7. Classify the critical point at the origin for the linear system
Transcribed Image Text:6. Classify any critical points of the first-order autonomous differential equation = x – 3x + 2 as either asymptotically stable or unstable. dt x' = 2x – 2y y' = 3x + 2y do t 7. Classify the critical point at the origin for the linear system
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