Introduction
Math students often complain that there's no real-world application for the kinds of problems arising in algebra and geometry, such as factoring polynomials or bisecting angles, but the same can't be said for differential equations. Using the tools, you'll learn about in this chapter, you will be able to model and solve real-life problems in physics, electronics, and engineering with differential equations. Python is the perfect tool for mathematicians and scientists who want to be able to crunch numbers and solve problems but don't want to have to get another degree in computer science to do so. Python is one of the most popular programming languages due to its ease of use and lack of unnecessary abstraction.
By the 1600s, mathematicians had modeled the motion of falling objects with mathematical equations and had set their sights on the planets in outer space. Newton modeled their motion and the equations he came up with referred not only to unknown...