2nd order ODE

  • Thread starter dismo
  • Start date
  • #1
5
0
Supose y1 and y2 are a fundamental set of solutions to a second order ODE on the interval
-infinity<t<infinity.
How can I show that there is one and only one zero of y1 between consecutive zeros of y2.

I really don't even know how to egin approaching this problem. Any direction would be greatly appreciated.
 

Answers and Replies

  • #2
72
0
only one zero of y1 between consecutive zeros of y2??? what do you mean by this statement?
 
  • #3
5
0
I believe that I mean if y1(x)=0 and y1(z)=0 then y2(a) must be equal to zero with x<a<z.

In other words, y1 and y2 must alternate zeros as t varies.
 

Related Threads on 2nd order ODE

  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
20
Views
3K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
12
Views
2K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
1
Views
1K
Top