Explore the method of undetermined coefficients for solving linear differential equations with external forcing in this 20-minute video lecture. Learn the three-step process: solving the homogeneous system, finding a particular solution based on the forcing form, and combining solutions to determine unknown coefficients using initial conditions. Gain insights into handling external forces in differential equations, with clear explanations and examples provided by Steve Brunton. Follow along as the video breaks down the problem setup, homogeneous equation solution, particular solution derivation, and coefficient determination using initial conditions.