I have a dynamical system, which is:

dx/dt = −3y² − 9xy − 5 y + 3 x² − 22x + 7
dy/dt = -9y²+8xy-21y+7x²-2

How do I find the break-even points?

Question

I have a dynamical system, which is:

dx/dt = −3y² − 9xy − 5 y + 3 x² − 22x + 7
dy/dt = -9y²+8xy-21y+7x²-2

How do I find the break-even points?

owlfred · Answer

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anonymous · Answer

Well, It's so much easier than I was expecting. We just need to solve both equations:
$$\frac{dx}{dt} = 0 \wedge \frac{dy}{dt} = 0$$

anonymous · Answer

Oh, I forgot it! Only the real roots of the solutions are break-even points!