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    Maximal Interval of Existence.

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    Please solve the following ODE problem:

    For every nonzero xo belonging to R, find the maximal interval of existence of the following initial problem:

    x' = f(x) , x(0) = xo ,

    where f: R{0} into R and f(x) = 1/x^2 . Guive proofs for your result. Skectch the region.

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    Solution Preview

    The equation is:
    With the IVP condition:
    The equation is a separable equation:

    Using (1.2) to find the value of the arbitrary ...

    Solution Summary

    The expert examines the maximal interval of existence.