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Consider the predator/prey model = A O A. asymptotically stable O B. stable OC. unstable and is a(n) x' y' = Find the linearization of this system at the second of the critical points you found in problem 1. M where A = O A. saddle point OB. spiral source O C. spiral sink O D. node E. center = 6x - x² -4y + xy. 88 Then find the eigenvalues of the linearized system (enter any complex numbers you may obtain by using "i" for √-1. For real answers, enter them in ascending order; for complex, enter the a - ib root before a + ib): A₁ = ₁₂ = 1 The critical point is xy

Consider the predator/prey model = A O A. asymptotically stable O B. stable OC. unstable and is a(n) x' y' = Find the linearization of this system at the second of the critical points you found in problem 1. M where A = O A. saddle point OB. spiral source O C. spiral sink O D. node E. center = 6x - x² -4y + xy. 88 Then find the eigenvalues of the linearized system (enter any complex numbers you may obtain by using "i" for √-1. For real answers, enter them in ascending order; for complex, enter the a - ib root before a + ib): A₁ = ₁₂ = 1 The critical point is xy

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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Solve all blanks using the critical point (4,2)
Consider the predator/prey model = A , where A = Find the linearization of this system at the second of the critical points you found in problem 1. MA A₁ = ₁4₂ = | 1 The critical point is O A. asymptotically stable B. stable O C. unstable and is a(n) x' y' Then find the eigenvalues of the linearized system (enter any complex numbers you may obtain by using "i" for √-1. For real answers, enter them in ascending order; for complex, enter the a - ib root before a + ib): = O A. saddle point B. spiral source O C. spiral sink O D. node OE. center 6x - x² - xy -4y + xy.
Transcribed Image Text:Consider the predator/prey model = A , where A = Find the linearization of this system at the second of the critical points you found in problem 1. MA A₁ = ₁4₂ = | 1 The critical point is O A. asymptotically stable B. stable O C. unstable and is a(n) x' y' Then find the eigenvalues of the linearized system (enter any complex numbers you may obtain by using "i" for √-1. For real answers, enter them in ascending order; for complex, enter the a - ib root before a + ib): = O A. saddle point B. spiral source O C. spiral sink O D. node OE. center 6x - x² - xy -4y + xy.
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