What are Differential Equations and how do they work?

In this video I explain what differential equations are, go through two simple examples, explain the relevance of initial conditions and how differential equations generally work, and then discuss what this means to the question whether the future is determined already. This video will be continued next week by a video about what this means for free will. Support me on Patreon:   / sabine   #physics #science #mathematics 0:00 Motivation and Content Summary 0:55 Example Disease Spread 3:25 Example Newton's Law 5:18 Initial Values 6:15 What are Differential Equations used for? 7:08 How Differential Equations determine the Future