- #1

chwala

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- TL;DR Summary
- What are the key factors to consider when determining the directional fields for curves/straight lines?

I am looking at this now : My understanding is that in determining the directional fields for curves; establishing the turning points and/or inflection points if any is key...then one has to make use of limits and check behaviour of function as it approaches or moves away from these points thus giving us a family of curves. For the question posted here , ...we set ##\dfrac{dy}{dx}=0, c=y-x## and then proceed to get a family of curves (isoclines) then proceed to check the behaviour of other values in the neighbourhood of the parallel lines.

Pretty clear but i may have missed on something hence my post.

Pretty clear but i may have missed on something hence my post.