2nd Order Diff Eqn. (complex roots)

  • Thread starter aznkid310
  • Start date
  • #1
aznkid310
109
1

Homework Statement


Prove that if y1 and y2 have maxima or minima at the same point in I, then they cannot be a fundamental set of solutions on that interval.


Homework Equations



Do I take the wronskian (determinant of y1, y1', y2, y2')? What would that tell me?

The Attempt at a Solution

 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
43,021
971
1) What is the Wronskian?

2) Why do you mention it here? What does the Wronskian have to do with differential equations?
 
  • #3
aznkid310
109
1
The wronskian is a determinant that tells us whether a set of functions is linearly independent or not right? How does that relate to maxima/minima?
 
  • #4
HallsofIvy
Science Advisor
Homework Helper
43,021
971
If y1 and y2 have maxima or minima at the same point, what are y1' and y2' there? What is the Wronskian at that point?
 

Suggested for: 2nd Order Diff Eqn. (complex roots)

  • Last Post
Replies
3
Views
405
Replies
17
Views
447
  • Last Post
Replies
14
Views
994
  • Last Post
Replies
13
Views
438
Replies
11
Views
771
Replies
15
Views
868
  • Last Post
Replies
6
Views
1K
Replies
8
Views
158
Replies
4
Views
325
Top