Math 224-01: Differential Equations: Reading Homework 1.3

1. The Search for Solution Formulas : what are two levels on which solutions to ODEs can be pursued?
   
   1. First-Order Linear Equations : when is a first-order ODE linear? what is normal linear form?
      
      1. antidifferentiation and solutions : what is the Antiderivative Theorem? on what calculus is it based?
         
      2. normal linear form : what is the driving term for a linear ODE? when is a linear ODE undriven?
         
      3. the integrating factor approach : how do we solve a differential equation using an integrating factor?
         
   2. General Solutions and IVPs :
      
      1. solutions : what is a general solution to a differential equation?
         
      2. IVPs : how does the constant in a general solution work for solving an IVP?
         
   3. Existence and Uniqueness : what can we say about the existence and uniqueness of solutions to first-order, linear differential equations?