Linear-second-order-odes

This lecture covers linear second-order ordinary differential equations (ODEs) with constant coefficients. It discusses the general solution of the homogeneous ODE, characteristic equation, and linearly independent solutions. It also explores the particular solution of the non-homogeneous ODE using the method of variation of parameters. The lecture concludes with examples of finding particular solutions for specific types of forcing functions. Throughout the lecture, the instructor emphasizes the importance of understanding the general theory presented for scalar linear ODEs with first-order constant coefficients.