Linear Second Order ODEs

This lecture covers the solution of linear second order ordinary differential equations with constant coefficients. It starts by introducing the general solution of the homogeneous equation and then explores finding particular solutions for non-homogeneous equations using the method of variation of parameters. The lecture also delves into examples illustrating the theory presented, showcasing the general solution and the method of finding particular solutions. The concepts of linear independence of solutions and the variation of constants are emphasized throughout the lecture.