I’m new in this forum. This semester I’ve been trying to learn how to use Mathematica for my Classical Mechanics course, but I’m still a novice concerning this software. In particular today I was doing a problem about a water drop on a surface $z=x^2-y^2$ and I came with Lagrangian Mechanics to the following equations:
where $g=9,8$ and arbitrary initial conditions. I tried a lot of codes, but I always had mistakes. Please, can you help me how to Plot3D this trajectory? Thanks in advance.