I use the recording from previous year's lecture, as I didn't have any changes for the contents. The notebook however has been updated for newer Julia and package versions.
Pluto notebook: pluto/julia, html, pdf,
E. Hairer, S.P. Nørsett, G. Wanner: Solving Ordinary Differential Equations I. Nonstiff Problems
E. Hairer, G. Wanner: Solving Ordinary Differential Equations II. Stiff and Differential Algebraic Problems
P. Kunkel, V. Mehrmann: Differential-Algebraic Equations. Analysis and Numerical Solution
TU Chemnitz lecture notes by A. Naumann (in German)
DifferentialEquations.jl documentation