differential equations dx/dt = x2 - 2x - y2 + 1, dy/dt = xy - 3x. What is the complete list of equilibrium points for this system? A. (-2,3), (0,-1), (0,1), (4,3). B. (3,-1), (3,1), (-2,0), (4,0). C. (3,-2), (-1,0), (1,0), (3,4). D. (0,-1), (0,1). E. (3,-2), (3,4).

differential equations dx/dt = x2 - 2x - y2 + 1, dy/dt = xy - 3x. What is the complete list of equilibrium points for this system? A. (-2,3), (0,-1), (0,1), (4,3). B. (3,-1), (3,1), (-2,0), (4,0). C. (3,-2), (-1,0), (1,0), (3,4). D. (0,-1), (0,1). E. (3,-2), (3,4).

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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Question

Consider the system of non-linear differential equations

dx/dt = x² - 2x - y² + 1,

dy/dt = xy - 3x.

What is the complete list of equilibrium points for this system?

A. (-2,3), (0,-1), (0,1), (4,3).
B. (3,-1), (3,1), (-2,0), (4,0).
C. (3,-2), (-1,0), (1,0), (3,4).
D. (0,-1), (0,1).
E. (3,-2), (3,4).

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