I Sketching simple coupled oscillators

If I'm given dx/dt = 2π - sin(y - x), dy/dx = 2π - sin(x - y), and finally the conditions x(0) = pi/2 and y(0) = 0,
what would be the best way to hand sketch the solutions without using an explicit solution?
 
1,416
9
Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
 

Grinkle

Gold Member
653
181
Find an expression for dy/dt. This seems like a homework problem, so I won't tell you exactly how to do that, but you have the information you need to do that.

Then use your expressions for dx/dt and dy/dt to generate pairs of (x,y) for increasing t, you know what to start from, as its a given in your problem. You need to think about what dx/dt and dy/dt represent to make the table correctly.
 
32,635
4,380
Thread closed. The OP has been asked to repost the question in one of the Homework & Coursework sections, using the homework template to include the efforts so far.
 

Related Threads for: Sketching simple coupled oscillators

Replies
1
Views
1K
  • Posted
Replies
5
Views
6K
  • Posted
Replies
3
Views
2K
  • Posted
Replies
5
Views
2K
  • Posted
Replies
4
Views
978
Replies
2
Views
13K
Replies
2
Views
2K
  • Posted
Replies
5
Views
2K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top