JohnnyRoastbeef wrote:That density is the density of the air.

Ooh! Then yeah you're totally right.

It's still a non-linear equation, it just may be separable is all.

Yeah that's basically what I meant. Seperable equations are probably the first thing taught in an o.d.e class. The resulting integral probably requires trig sub, but <3 trig subs. Looks like you'd just manipulate the constants then use tan^2 + 1 = sec^2 (with v = tan) making dv = sec tan

Edit: oh wait XD! The integral of 1/(x^2 + a^2) is 1/a arctan(x/a)

Which would make the whole thing pretty easy once you manipulate the constants