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Math Help - help me please to find equilibrium solution

  1. #1
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    help me please to find equilibrium solution

    Hello everyone,

    I have tried to find equilibrium solution for:



    I have got (0,0) and (0,1) is that is true or not ?

    and how can I solve b

    I prepare for final exam and this question was one of the questions model in the past exam

    thank u

    Sara
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  2. #2
    MHF Contributor

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    Yes. "Equilibrium" solutions are "constant" solutions- solutions such that dx/dt= 0 and dy/dt= 0. Since dy/dt= -2x= 0, x= 0 which makes the second equation dx/dt= -x+ y- y^2= y- y^2= y(1- y)= 0 so that y= 0 or y= 1. There are a number of different ways of determining what "type" of equilibrium solution each of those is. I don't know which you are expected to use.
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