Math 224-01: Differential Equations: Reading Homework 1.6

1. Separable Differential Equations : what is the difference between the differential equations considered in this section and those considered before?
   
   1. Separable ODEs : what are the steps in solving a separable differential equations?
      
      1. why it works : why does the procedure for separable equations work?
         
      2. independent variables : what happens if we consider x as a function of y? can we ``not choose''? what happens then?
         
   2. Integrals and Integral Curves : what is an integral of a differential equation? an integral curve?
      
      1. integral curves and solutions : how are solution curves related to the integral curve of an ODE?
         
      2. y y' + x = 0 : what is an integral for this differential equation? an integral curve?
         
   3. Miscellany :
      
      1. logistic curves : what is the logistic equation? in what contexts does it appear?
         
      2. differential equations : why are differential equations called differential equations?