Section 1.1  Introduction

objectives

• to be able to distinguish between ordinary and partial differential equations
• to be able to distinguish between linear and nonlinear ordinary differential equations

• differential equations

 

 
 
 
 
 
 
 

• independent and dependent variables

 

 
 
 
 
 
 
 

• Newton's second law

 

 
 
 
 
 
 
 

• radioactive decay

 

 
 
 
 
 
 
 

• coefficients

 

 
 
 
 
 
 
 

• ordinary vs. partial differential equations

 

 
 
 
 
 
 
 

• order

 

 
 
 
 
 
 
 

• linear differential equations

 

• ordinary or partial differential?
• order?
• independent and dependent variables?
• linear or nonlinear?

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

QUESTION OF THE DAY

Use the technique of integration by parts to evaluate .

SOLUTION

SOLUTION.