Hi guys, I just have a very broad and general question.(adsbygoogle = window.adsbygoogle || []).push({});

Today in math class I was asked to solve the horizontal asymptote of a differential equation, and this had me stumped.

Later on, the teacher gave me the following two examples:

dy/dx=x-2

and

dy/dx=y-2

The solution to the first equation for a horizontal asymptote is DNE

The solution to the second is 2

Now, I'm just wondering... How would one know that this is true without solving for the original equation? I mean, this doesn't seem intuitive at all to me. Why is it that when X is what makes the differential equation 0 there is no asymptote and when Y makes the equation 0 there is?

Thanks for all the help.

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# Differential equation asymptotes

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