[MUST READ] This forum is not for homework or any textbook-style questions.

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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions forums, whether the problem is part of one's assigned coursework or just independent study. And, before posting, read the section entitled "Homework Help" in the PF Global Guidelines.
 
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Please note that all homework/coursework-TYPE questions must be posted in the HW/Coursework forum, not in this this forum. This is applicable even if your question is not officially from a HW/Coursework, and you are just doing this for your own study, or for someone else.

To the rest of the members, please report such type of misplaced posts. If you are responding to it, please note that there is a good chance that that thread, and your response, will be deleted.
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
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