Systems of n linear ODEs with constant coupling matrix A

This lecture covers systems of n linear first-order ODEs with constant coupling matrix A, discussing properties of solutions, the superposition principle, and scalar linear ODEs. It also explores the relation for the general system of ODEs, the superposition of solutions, and the solution to the inhomogeneous problem. The lecture concludes with examples of systems of linear ODEs with constant matrices and the decomposition of initial conditions on eigenvectors.