A DE deduced from the direction field

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Homework Statement



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


Homework Equations





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.
 

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For what (x,y) is y'=0 in the picture?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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