- by hand
- without any experience writing meaningfully heterogenous proofs
- without being able to construct any relevant equations from models
- without a good understanding of the origin of Bessel or Airy series
- without having lists of criteria committed or understanding of when series solutions are called for
- without understanding solving systems of differential equations
- without any significant motivating application to strive towards at the time
- without considerable practice teaching myself things, since the lectures felt like a kitchen knife piano ballet https://youtu.be/x93DsA7UHhs
I eventually broke down and sat in the library for hours at a time making a handwritten copy of the exposition of the textbook, hoping something would stick. I was passed.