A differential equation is an equation involving derivatives. These things are really useful for describing how quantities change in the real world. For example, if you want to understand how fast a population grows, or even how quickly you can pay off a student loan, a differential equation can help model the situation and give you a decent answer. In this final chapter, we’ll see how to solve certain types of differential equations. In particular, here’s what we’ll look at:
• an introduction to differential equations;
• separable first-order differential equations;
• first-order linear differential equations;
• first- and second-order constant-coefficient differential equations; ...