(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

ok i got the following one i have x´´= -x^5, show that the point x=0 is a stable equilibrium.

I´m given the hint to use the function V(x, x´) = x´^2/2 + x^6/6

2. Relevant equations

3. The attempt at a solution

surly i tried linearization but that doesn´t work ( ok everyone knew that :) )

now im into trying to start with the basic epsilon-delta criterion and try to work around that but im not really getting anywhere any hint would be appriciated :)

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# Homework Help: Stability of ODE solution

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