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    Maximal Interval of a Dynamical System

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    Please help solve the following nonlinear system:

    For every xo in R, solve the initial value problem;

    dx/dt = sin x , x(0) = xo

    i) find the maximal interval of existence
    ii) find the dynamical system defined by the solutions.

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    Solution Summary

    The solution determines the maximal interval of a dynamical system.