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A DE deduced from the direction field

  1. Oct 28, 2013 #1
    1. The problem statement, all variables and given/known data

    Which of the following di erential equations corresponds to the direction eld
    shown below?

    1) y'=x+y
    2) y'=xy-1
    3) y'=1-xy
    4) y'-xy
    5) y'=x-y


    2. Relevant equations



    3. The attempt at a solution

    I have no idea how can this be done. I mean I used to deduce the DE from the direction field only when the equilibrium solution was HORIZONTAL.. Now, I am confused! Anyone who would help, I would appreciate it.
     

    Attached Files:

  2. jcsd
  3. Oct 28, 2013 #2

    haruspex

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    For what (x,y) is y'=0 in the picture?
     
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