Consider the phase portrait shown below for a system of the form dy dt = f(x, y), g(x, y), where f, g and all their partial derivatives are continuous functions. 3 2 1 -0 -1 -2 7 x 7 2 dx dt KR -3 -3KKKK ↑ -2 -1 0 x = 1 K 2 ✓ B 3 This system has two equilibrium points (red dots), one at (0, 1) and one at (0, -1). Two solution curves are shown (one black and one blue). (a) What type of equilibrium is at (0,1), e.g. nodal source, spiral sink, saddle, etc.? Explain your answer.
Consider the phase portrait shown below for a system of the form dy dt = f(x, y), g(x, y), where f, g and all their partial derivatives are continuous functions. 3 2 1 -0 -1 -2 7 x 7 2 dx dt KR -3 -3KKKK ↑ -2 -1 0 x = 1 K 2 ✓ B 3 This system has two equilibrium points (red dots), one at (0, 1) and one at (0, -1). Two solution curves are shown (one black and one blue). (a) What type of equilibrium is at (0,1), e.g. nodal source, spiral sink, saddle, etc.? Explain your answer.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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