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    trauden's Avatar
    trauden Posts: 1, Reputation: 1
    New Member

    Nov 8, 2018, 04:05 AM
    Dear all members,
    Anyone knows this non-linear differential equation related to what mechanic system.

    x ̈+x ̇^3+x=0
    (or dx/dt=z, dz/dt=-x-x^3)
    Deeply appreciate to any help.
    ebaines's Avatar
    ebaines Posts: 12,129, Reputation: 1307

    Nov 8, 2018, 02:38 PM
    I assume the middle term is x-dot (it's not very clear, and it would mean you left the "dot" off the x^3 term in the second line). Please confirm that this is what you meant:

    That velocity cubed term is a puzzler. If that term was velocity squared I would say the system involves resistance from air or fluid flow, which is often modeled as being proportional to the square of velocity.

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