I'm at a loss on this question...my troubles seem to be algebraic or that i'm simply missing something.(adsbygoogle = window.adsbygoogle || []).push({});

x' = [itex]\mu[/itex] - x^{2}+4x^{4}

my method for these questions has basically been to do everything required to draw bifurcation diagram bar drawing the actual diagram itself (ie, find equilibria, what values of mu create/destroy them, and the intervals of stability). Here solving for x in terms of the parameter mu has been a challenge. I've been trying to think of what it means to have mu as a function of x and what that can do for me, but so far I have nothing.

Is this the correct method, or am I making this harder than it needs to be? I'm taking the course independent as an independent study, so every once in a while I cant help but wonder.

If I am doing it right can someone give me a hint here? -.-

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# Homework Help: Find all bifurcation points (ODEs)

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