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Ok, so D.E. all all fine and dandy, heck I've taken a whole course of D.E. in 2nd year university and even did not too badly. While I did alright, I can't say I fully enveloped the big picture of the situation at hand that comes along with D.E.s

My simplest example of a D.E. that puts things into a simple perspective is a function where 2 or more variables depend on change in reference to something else. So for instance x changes with relation to y, the result of which changes with z.

I'm looking for intuitve based explainations (that dont delve into the math to cound on "getting it", but rather words and visualizations that could further clairify things and perhaps ad some knowledge. I'm a super inntuitive and visual learner, I find that a lot of formulas make sense in their own right, but don't give me the bigger picture as often as more "philisphical" and general comments.

How can I look at a graph and say: "ah, that sir, is a differential equation for the following reason(s):..." How do I start off from not a D.E., but end up at one? How can I better intuitively understand D.E.s "backwards"?

I have the background for this stuff, and I don't exactly know what I'm missing/looking for; bear with me:P

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# Understanding differential equations backwards

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