Well I hope you learned how to actually solve some of these differential equations. I only learned existence and uniqueness and hand to pick up the methods to solve them by myself. I hope you take partial, and you will realize very fast that your bag of tricks will evaporate very quickly. Learn how to program and solve these things numerically. My $0.02.
" Learn how to program and solve these things numerically. My $0.02."
Amen! Excellent advice.
Nobody I know solves differential equations by hand anymore.
MatLab and other such packages do it very nicely.