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    Existence an duniqueness

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    Using the existence-uniqueness theorem show that the following IVP has a solution but it is not unique:


    y(0) bounded

    general solution: y=Ax^3+Bx^{-3}

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    Hello and thank you for posting your question to Brainmass

    The uniqueness and existence theorem states that

    Let p(t), q(t), and g(t) be continuous on [a,b], then the differential equation

    y'' + p(t)y' + q(t)y = g(t) y(t0) = y0 y'(t0) = y'0

    has a ...

    Solution Summary

    This provides an example of working an existence and uniqueness proof.