Learn how to solve general high-order linear differential equation systems in this 25-minute video lecture. Explore the use of characteristic polynomials and linear superposition to tackle complex ODEs. Discover the step-by-step process of guessing solutions, deriving characteristic polynomials, and constructing general solutions. Gain insights into applying initial conditions and understand the nuances of Wronskian determinants in the context of ODEs. Follow along with detailed explanations and examples to enhance your understanding of advanced differential equation solving techniques.