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    Initial Value Problem

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    For every xo in R, solve the initial value problem x' = IxI , x(0) = xo and show that the solution is unique on (minus infinity, plus infinity), where f (x) = IxI is the absolute value of x.

    Hint: consider two cases:
    i) xo >= 0 and
    ii) xo < 0.

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    The expert examines the initial value problems for infinity.