All of my math teachers seemed to start at the end of the problem and work backwards without giving context. "Here is a system of differential equations, let's find the eigen values (complex process, write notes without understanding, just trying to keep up) as you can see these are the modes of a spring mass system. ". Whaaaaaat,! Why not start with the spring mass system, explain why finding the modes is useful then show the solution. Tldr context!