Hi guys, I just have a very broad and general question. 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.