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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.

    © BrainMass Inc. brainmass.com May 20, 2020, 10:24 pm ad1c9bdddf
    https://brainmass.com/math/interpolation-extrapolation-and-regression/maximal-interval-existence-512122

    Solution Preview

    The equation is:
    (1.1)
    With the IVP condition:
    (1.2)
    The equation is a separable equation:

    (1.3)
    Using (1.2) to find the value of the arbitrary ...

    Solution Summary

    The expert examines the maximal interval of existence.

    $2.19

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