Autonomous ODE?

  • #1
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The problem for this is a picture. Its basically a U shaped parabola such that it intersects the points (-3,0) (0,0) (3, 0)

you have a graph such as:

f(x)
|
|
|------- y
|
|

The problem I am having is this.. I know what it means when a point is unstable or stable we tended to draw arrows on either side of the phase lines. I am unsure of how you figure out which way the arrow goes basically, I think it has something to do with their derivative but how am I suppose to find the derivative of a visual graph without an equation?
 

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