Differential equations. Autonomous systems and stability Identify the equilibrium points and their stability. Indicate if they are nodes, centers, focu or saddle points. a) x' = 2x + 5y, y' = x + 6y b. x' = 2x - y, y' = -6x + y c. x' = 5x + 6y, y' = x + 4y
Differential equations. Autonomous systems and stability Identify the equilibrium points and their stability. Indicate if they are nodes, centers, focu or saddle points. a) x' = 2x + 5y, y' = x + 6y b. x' = 2x - y, y' = -6x + y c. x' = 5x + 6y, y' = x + 4y
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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Differential equations. Autonomous systems and stability
Identify the equilibrium points and their stability. Indicate if they are nodes, centers, focu or saddle points.
a) x' = 2x + 5y, y' = x + 6y
b. x' = 2x - y, y' = -6x + y
c. x' = 5x + 6y, y' = x + 4y
d. x' = 5x - 3y, y' = -x - y
e. x' = 2x + 9y, y' = -x - 4y
f. x' = x + y, y' = -x + 3y
g. x' = 7x - 4y, y' = 3x
h. x' = -x + y, y' = -6x - 6y
i. x' = -x + y, y' = -y
j. x' = -x, y' = -y
k. y' = -3x, x' = 2y
Please be as clear and legible as possible. Show all the steps. Thank you a lot.
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Identify the equilibrium points and their stability. Indicate if they are nodes, centers, focu or saddle points.
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