Find the solution to the linearization around zero of the system with initial conditions (0) = -0.6 and y(0) = -0.4. y Complete the following two statements: The critical point (0,0) is ⒸA. asymptotically stable B. stable C. unstable and is a(n) O A. saddle point B. spiral point C. center D. node x' = -2x - 4y - 2x¹, y' = 4x – 2y — 3xy

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.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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Find the solution to the linearization around zero of the system
x':
with initial conditions (0) = -0.6 and y(0) = -0.4.
x =
y =
Complete the following two statements:
The critical point (0,0) is
ⒸA. asymptotically stable
B. stable
O C. unstable
and is a(n)
O A. saddle point
OB. spiral point
C. center
D. node
=
-2x - 4y - 2x4, y = 4x - 2y - 3xy¹
Transcribed Image Text:Find the solution to the linearization around zero of the system x': with initial conditions (0) = -0.6 and y(0) = -0.4. x = y = Complete the following two statements: The critical point (0,0) is ⒸA. asymptotically stable B. stable O C. unstable and is a(n) O A. saddle point OB. spiral point C. center D. node = -2x - 4y - 2x4, y = 4x - 2y - 3xy¹
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