Linear Differential Equations

This lecture covers linear differential equations of higher order, focusing on linear homogeneous equations of order n. It explains the definition of linear differential equations, the superposition principle for solutions, and the general solution for homogeneous equations. The lecture also introduces linear differential equations of order 2 with constant coefficients, discussing their definition and the associated homogeneous equation. Additionally, it revisits the concept of characteristic polynomials and their role in differential equations.