Section 1.3  Direction Fields

objective

• to be able to graph direction fields with graphing calculator
• to be able to sketch solutions on the direction field

• direction field

 

 
 
 
 
 
 
 
 
 

• logistic equation

 

 
 
 
 
 
 
 

• isoclines

direction field of radioactive decay, dA/dt = -kA
 
 
 
 
 
 
 
 
 
 
 
 
 

using the calculator to sketch direction field and solution curve given initial conditions, #1
 
 
 
 
 
 
 
 
 
 

examining a logistic equation for population, #5
 
 
 
 
 
 
 
 
 
 
 
 
 

using isoclines to help sketch direction fields, #12
 
 
 
 
 
 
 
 

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QUESTION OF THE DAY

Use implicit differentiation to find dy/dx when x/y + y/x + x2y3 = 1.

SOLUTION

 

SOLUTION.