Lecture
This lecture covers the application of the Laplace transform to find solutions to differential equations, focusing on examples related to Cauchy's work. It explores the transformation process, convergence criteria, and the properties of transformed functions. The instructor discusses the solutions obtained through the Laplace transform, emphasizing the importance of understanding the general form of solutions. Various examples are presented to illustrate the method's application in different scenarios, highlighting the versatility and efficiency of this mathematical tool.