"Since integral curves can’t cross an integral curve itself is both an upper and a lower fence"
Can anyone explain this for me a little more. I'm not sure if i'm getting it right.
I kind of understand this
"An integral curve is also a fence of both types"
The quote is a Remark in this http://ocw.mit.edu/courses/mathematics/18-03sc-differential-equations-fall-2011/unit-i-first-order-differential-equations/geometric-methods/MIT18_03SCF11_s2_5text.pdf
Stacey Warren - Expert brainly.com
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Because to go outside the fence requires to cross the fence; at the point of crossing, there will be two different slopes. But the direction field allows you to have only one slope at a point.
Thanks for answering, i knew that. I just got confused by that specific remark, like how an integral curve itself could be both an upper and a lower fence, arent the integral curve suppose to be between them (if conditions says so)