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Math Help - second order ode

  1. #1
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    second order ode

    In which of the two intervals [-3,0] or [2,3] can the couple of functions 2and t^3-3t be solutions of a differential equation

    y''=f(t,y,y') where f is continuous and lipschitz in (y,y')?
    explain and give an example of such equation.

    Thank's in advance.
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  2. #2
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    Re: second order ode

    I really don't understand your question. You say "f is continuous and lipschitz in (y,y')". Without saying a specific set, that would be assumed to be on all x. In that case, there exist a unique solution, satisfying y(a)= y0, y'(a)= y1, what ever a is, for all x. I don't see how that has anything to do with the intervals [-3, 0] and [2, 3].
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