System of ODEs

  • #1
The problem goes like this:

"Show that [itex]x = \sin(2t) + e^t, y = 2\cos(2t) - 4e^t[/itex] is a solution of
[tex]x' = 5e^t + y, y' = -4x [/tex]
and find a family of solutions of this system.

I already did the 'showing' part. I am having trouble finding the general solution for this system. Can someone help me?
 

Answers and Replies

  • #2
OlderDan
Science Advisor
Homework Helper
3,021
2
Have you looked at the second derivative of x?
 

Related Threads on System of ODEs

Replies
4
Views
1K
  • Last Post
Replies
13
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
6
Views
3K
Replies
4
Views
7K
  • Last Post
Replies
2
Views
8K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
2
Views
4K
  • Last Post
Replies
20
Views
2K
  • Last Post
Replies
4
Views
2K
Top