Lecture
This lecture covers the concept of exact linearization, focusing on determining conditions for functions and transformations using the Lie bracket and the hook of Lie. It explains how to find the function h(x) to meet specific conditions and how to transform systems using the hook. The instructor demonstrates the process step by step, showing how to solve problems related to linearization and integrability. The lecture also discusses involutive families and the intrinsic properties of systems. By the end, students will have a clear understanding of how to apply exact linearization techniques in practice.