I am currently self-studying Mathematical Methods for Studying by Weber, Arfken and Harris. In the chapter Matrix Eigenvalue problems, I'm stuck in a particular step in a particular problem. Please look at the Image attached. The expression which is boxed, $$\frac{F_x}{F_y}\neq\frac{x}{y}$$ in the textbook as we can see, it is said that the force will not be directed toward the minimum at $x=0$ & $y=0$. Actually this is the step I dont understand, how the expression came up here. I am trying to visualize this problem physically, but I am unable to come up with this expression. Please give me some hint or information if possible.(adsbygoogle = window.adsbygoogle || []).push({});

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# I A double in this example problem

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