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Alex Ar [27]
3 years ago
5

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

−y − xy
Mathematics
1 answer:
Lisa [10]3 years ago
8 0
x'=x+xy=x(1+y)=0\implies x=0\text{ or }y=-1

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

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