Section 2.3  Linear Equations

 
 

• to be able to find the integrating factor, m
• to be able to recognize linear first order differential equation
• to be able to find a general solution to a linear first order differential equation
• to be able to solve an initial value problem of a  linear first order differential equation

• linear first order differential equation

 
• standard form

 
• integrating factor

 

Derivation of  m(x)
 
 
 
 
 
 
 

recognizing separable and linear first order differential equations, #1,2,3,5
 
 
 
 
 
 
 
 
 
 
 

finding a general solution, #8,13  (graph solutions)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

solving an initial value problem, #21
    existence and uniqueness theorem
 
 
 
 
 
 
 
 
 
 
 

using definite integration, #25 (use calculator)
 
 
 
 
 
 
 
 

constant multiples of solutions: dy/dx + P(x) y = 0 with the solution f(x).  Show Cf(x) is a solution.
 
 
 
 
 
 
 
 
 
 
 
 
 

QUESTION OF THE DAY

Find the value of the definite integral

SOLUTION

 

SOLUTION.

  SOLUTION.
 
 
 

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