This problem is more computationally proofy. I had fun with it. Mind you, youre solving the character polynomial associated with a second order diffy eqn with monomial constants with the substitution y=x^m.

Have fun, if you get it right ill give you boob pictures.

By chance I met a recent data science grad who knew the matrix computation book i was reading and he informed me about it.

Here is the documentation for any interested.

https://docs.julialang.org/en/v1/

Check out the links in the video.