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Differential Equations

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Figuring Out Critical Points

DIFFEQ-ZZNLWJ

Consider the following autonomous system

$\cfrac{dx}{dt}=1-xy$
$\cfrac{dy}{dt}=x-y^3$

About the critical points, which of the following is wrong?

A

$(1,1)$ is a critical point.

B

$(1,-1)$ is a critical point.

C

$(-1, -1)$ is a critical point.

D

$(-1,1)$ is not a critical point.