So I am currently a very indecisive mechanical engineering student, who can't figure out what to major in. I have found out that I am much more interested in solving problems that deal with a lot of equations, substitution, and differential equations than I am solving statics problems.

I like classes like statics and mechanics of materials, don't get me wrong, it just gets boring after a while; I feel like I'm solving the same problem over and over again using barely any math.

So pretty much, my question is: which engineering/science solves problems that involve a lot of math, equations, calculus, etc.. An example of a problem like this, would be this basic kinematics problem:

You should give chemical engineering a try. You will spend most of your junior year dealing with transport phenomena (momentum, heat, and mass transport), which are heavily based on calculus and differential equations. Then there's reactor design, which also relies on DE. You will also encounter some differential equations while designing continuous contact equipment for unit operations. Check out the textbook Transport Phenomena by BSL, to get a glimpse of the math you would be dealing with as a ChemE major.

I was actually thinking about doing ChemE a while back. I'm really not sure if I'm interested in the kind of stuff you would be working on as a ChemE though. I did check out that text and it looks interesting. Thank you though!!

I was actually considering electrical engineering, and I think physics is what I really want to do, but I really don't want to ever have to worry too much about money if I don't have to. It seems that everything I want to study in physics leads to me being stuck in a post doc research position.