Unique Solutions in Differential Equations

This lecture discusses the concept of unique solutions in differential equations, focusing on separable equations and the Cauchy-Lipschitz theorem. It explores the conditions for having one and only one solution, providing examples and discussing the importance of uniqueness. The lecture delves into the significance of separable equations and the necessity of satisfying certain conditions to ensure a single solution. It also covers the idea of uniqueness in differential equations, emphasizing the key conditions required for a unique solution. The presentation highlights the importance of clear and satisfied conditions for obtaining a single solution.