Recent content by Mr. Moose

Hello, Physics Forums! I currently a high school junior in the US, and I plan on majoring in physics. Finances are a concern for me, since I don't qualify for financial aid, but won't be receiving any help from my parents. As a result, the very highest schools like MIT are out of the question...

In my introductory ODE class we have focused mostly on linear differential equations. I know that nonlinear differential equations are much harder to solve, and I am wondering what exactly the "state of the art" methods are for dealing with them, or also what recent developments have been made...

The University of Texas at Austin.

Before I begin, I would like to make it clear that I am only a Junior in high school, so I have at least a little time before any important decisions need to be made about college. As such, this post will likely contain a good number of "what if"s. I am, of course, interested in obtaining a...