Math 224-01: Differential Equations: Reading Homework 1.3

1. The Search for Solution Formulas : what do we mean by ``solving a differential equation''?
   
   1. First-Order ODEs :
      
      1. Point : what is the order of an ODE?
         
      2. Point : when is an ODE linear? what is ``normal linear form''?
         
   2. Antiderivative Theorem : what is the Antiderivative Theorem? to what types of ODEs does it apply?
      
   3. Integrating Factors : what is done in example 1.3.2 to solve a linear ODE? how does the product rule come into the example?
      
      1. Point : what are the coefficient and driving terms in a first-order normal linear ODE? what do ``driven'' and ``undriven'' mean?
         
      2. Point : what is an integrating factor?
         
      3. Point : what steps allow the method of integrating factors work to solve a first-order linear ODE?
         
      4. Point : how does the method work for initial-value problems (IVPs)?