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Math Help - Qualitative Analysis

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    Len
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    Qualitative Analysis

    Show that there is at least one solution in each of the second and fourth quadrants that tend to the origin as t goes to infinity.

    Similarly, show that there is at least one solution in each of the first and third quadrants that tend to the origin as t goes to negative infinity.

    No idea how I do this. Some help would be most appreciated!

    Guess it would help if I posted the system :P

    dx/dt=y

    dy/dt=x-x^2
    Last edited by Len; March 27th 2010 at 08:55 PM. Reason: Oops
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