Math 224-01: Differential Equations: Reading Homework 1.4

1. Modeling with Linear ODEs :
   
   1. Balance Law & Compartment Models : what does the balance law apply to? what does it say about a rate of change?
      
      1. Point : what is the balance law?
         
      2. Point : in example 1.4.1, where does the term y(t)/100 come from?
         
   2. Response : how does the book break the total response of a system down? what differential equations do the two parts of the response satisfy?
      
      1. Point (p.27) : what property of the differential equation allows us to add the two solutions you described above?
         
      2. Point : what is the alternate approach to finding a solution formula for a linear differential equation?