Math 106-01: Calculus II: Reading Homework 10.5

1. Growth and Decay : what is the topic of this section? what is the application that is used to motivate it? how is the solution obtained for this application?
   
   1. Properties : what are the differential equation and solution introduced for these types of problems? what is a doubling time? half-life?
      
      1. applications : what application is introduced illustrating exponential growth? what is the difference between the annual and continuous percentage growth rates for an investment?
         
      2. applications : how is the differential equation for the pollution in the great lakes set up?
         
      3. applications : what is Newton's law of cooling? how does it lead to a differential equation?
         
   2. Equilibrium Solutions : what is an equilibrium solution to a differential equation? what do we mean by stable or unstable equilibria?