Section 2.2  Separable Equations

•   to be able to distinguish separable equations from other differential equations
•   to be able to solve separable equations
•   to understand how there may be a loss of solutions

key ideas and/or vocabulary
 

•      separable equations

 

 
 
 
 
 

•      general solution

 

 
 
 
 
 

•      initial value problem

solved problems-using key ideas
Motivation:  Newton's Second Law with air resistance
 
 
 
 
 
 
 

determining whether differential equations are separable, #1,3,6
 
 
 
 
 
 
 
 
 
 
 
 
 

method for solving separable equations, #7
 
 
 
 
 
 
 
 

method for solving separable equations with possible loss of solutions when dividing by p(y), #13
 
 
 
 
 
 
 
 

solving initial value problems, #21
 
 
 
 
 
 
 
 
 
 
 

formal justification for method, page 43
 
 
 
 
 
 
 
 
 
 
 

solutions not expressible in terms of elementary functions, #27b
 
 
 
 
 
 
 
 
 
 
 
 

mixture problem, #33
 
 
 
 
 
 
 
 
 
 
 

QUESTION OF THE DAY

SOLUTION

 

SOLUTION.

  SOLUTION.
 
 
 

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