Module 19 - Exponential Growth and Decay Introduction | Lesson 1 | Lesson 2 | Lesson 3 | Self-Test Introduction In this module you will solve differential equations that model exponential growth and decay. The applications you will study arise in the various fields of finance, thermodynamics and electronics. The differential equation y' =ky, which describes a quantity that changes at a rate proportional to itself, is the model for continuously compounded interest and charge on a capacitor which is closely related to Newton's Law of Cooling. Lesson Index: 19.1 - Continuously Compounded Interest 19.2 - Newton's Law of Cooling 19.3 - Charge on a Capacitor After completing this module, you should be able to do the following: Find doubling times for continuously compounded interest Find future values for investments that accrue interest continuously Solve problems involving heating and cooling liquids Solve a differential equation to determine the charge on a capacitor Find the half-life of the charge on a capacitor Next > ©Copyright 2007 All rights reserved. | Trademarks | Privacy Policy | Link Policy