Take a look at this playlist [0] by MathTheBeautiful. It says it's about PDEs, but it starts with ODEs.

I think most differential equations courses are too focused on symbolic solving techniques. To me, understanding a (physical) system is mainly understanding the differential equation (system) itself, not it's solution. MathTheBeautiful really excels at this approach.

Solutions are of course important as well, but i think that's what computers are for.

[0] https://www.youtube.com/playlist?list=PLlXfTHzgMRUK56vbQgzCV...