first of all I'm not a mathematician, so I apologize if any of my understanding and terminology isn't up to par. Also, I've never used this website (or any of these kind of question/answer) websites before, hope it works.
I'm a mech. eng having trouble with a differential equation that is crucial to my research in graduate school. I've spend a long time trying to look up and understand tons of sources anything from books to buddies around the college.
This is the differential equation:
$$ \dfrac{F(t)}{\left(\frac{dy(x)}{dx}\right)^2+1}=c^2y^2\left(\frac{d^2x(t)}{dt^2}\right)^2 $$
I'm trying to solve for y which I THINK is dependent on x only, but i'm not sure. It could be y(x) or y(t). I also think this is a 1st order non-linear non-homogenous DE, but again I'm not sure. I initially thought it might be a partial differential equation though.
Any help would be greatly appreciated!