saadhabib2932 saadhabib2932

21-11-2017
Mathematics

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Find all critical points of the given plane autonomous system. (enter your answers as a comma-separated list.) x' = x + xy y' = −y − xy

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LammettHash LammettHash

21-11-2017

[tex]x'=x+xy=x(1+y)=0\implies x=0\text{ or }y=-1[/tex]

[tex]y'=-y-xy=-y(1+x)=0\implies y=0\text{ or }x=-1[/tex]

There are 4 critical points: (0, 0), (0, -1), (-1, 0), and (-1, -1).

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