Linearization of Nonlinear ODEs, 2x2 Systems, Phase Portraits

Explore the concepts of linearization of nonlinear ODEs, 2x2 systems, and phase portraits in this 49-minute lecture from the Engineering Mathematics course at the University of Washington. Delve into the mathematical techniques used to analyze complex dynamical systems, with a focus on approximating nonlinear behavior through linearization. Examine the properties of 2x2 systems and learn how to visualize their behavior using phase portraits. Access accompanying lecture notes for additional support and visit the course website for more resources on engineering mathematics. Gain valuable insights from Professor Steve Brunton's expertise in this comprehensive exploration of advanced mathematical concepts applied to engineering problems.