I'm a CS major and I've done courses in real analysis, multivariate, linear algebra, measure-theoretic probability, stats, some abstract algebra, optimization, combinatorics, etc. yet never learned to (analytically) solve differential equations except for trivial cases like pic.

I've never really had interest either. They seemed like boring stuff similar to learning various tricks for solving trickier integrals. Of course, this might be from my very limited experience with them.

Are there any interesting analytical results or anything else that would make them seem cool beyond uh sure they are useful (the one time I used such for an actual problem I just implemented Runge-Kutta).