Math 224-01: Differential Equations: Reading Homework 2.1

1. Initial Value Problems and Approximate Solutions : what does this chapter cover?
   
   1. Existence and Uniqueness : why are IVPs important?
      
      1. Point : what are the basic questions we ask about IVPs?
         
      2. Point : what is the existence and uniqueness theorem? make sure you understand it.
         
      3. Point : can solution curves meet? why or why not?
         
   2. Exceptional Cases : what can we say about the solutions of a problem for which the conditions for existence and uniqueness aren't satisfied?