General Solutions of Differential Equations

This lecture covers the process of finding general solutions for differential equations, including methods like explicit form solutions, implicit form solutions, and variation of parameters. It also discusses the concept of homogeneous and inhomogeneous equations, as well as the integration constants. The instructor explains how to solve these equations step by step, emphasizing the importance of intermediate hypotheses and the satisfaction of given conditions. The lecture concludes with examples illustrating the application of the discussed methods.