Explore the intricacies of second order harmonic oscillators, characteristic equations, and ode45 in Matlab in this comprehensive lecture from the Engineering Mathematics course at the University of Washington. Delve into solving differential equations, Taylor series expansions, and the spring mass damper system. Access accompanying notes and Matlab code for hands-on practice. Gain valuable insights into advanced mathematical concepts and their practical applications in engineering through this in-depth 52-minute video lecture.