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
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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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