In this system of non-linear differential equation: $$ x' = (x-y)(x+y) \\ y' = (2+x)(5+y) $$
I'm getting four critical points $(-2,-2)$, $(-5,-5)$, $(-2,2)$ and $(5,-5)$ instead of three as suggested by the question textbook. Can anyone check?
In this system of non-linear differential equation: $$ x' = (x-y)(x+y) \\ y' = (2+x)(5+y) $$
I'm getting four critical points $(-2,-2)$, $(-5,-5)$, $(-2,2)$ and $(5,-5)$ instead of three as suggested by the question textbook. Can anyone check?
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