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    Dynamics

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    Show that the 1 dimensional problem with equation of motion (FUNTION1) has a stable equilibrium point at x=1, and show that the period of small oscillations about the point is (FUNCTION2).

    (PLEASE SEE ATTACHMENT FOR FUNCTIONS)

    © BrainMass Inc. brainmass.com March 4, 2021, 6:04 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/dynamics-equilibrium-points-26911

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    Solution Preview

    d^x/dt^2 = w^2*[1+2x-3x^2] = f(x)

    Equilibrium point is given by,

    f(x) = 0 ==> x = 1

    also, f'(x) = ...

    Solution Summary

    This is a proof regarding stable equilibrium points and small oscillations. The dimensional problems with equation of motion are examined.

    $2.19

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