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Homework Help: Fixed Points of two differential equations

  1. Nov 27, 2012 #1
    1. The problem statement, all variables and given/known data
    Determine all fixed points of:
    dx/dt = x(β-x-ay)
    dy/dt = y(-1+ax-y)

    β and a are parameters.

    I get what to do when there is just one differential equation, but not two.
  2. jcsd
  3. Nov 27, 2012 #2
    Divide dx/dt = x(β-x-ay) by dy/dt = y(-1+ax-y) and you will get
    (dx/dt)/(dy/dt) = [x(β-x-ay)]/[y(-1+ax-y)] = dx/dy
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