1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Vector General Solution

  1. Apr 20, 2012 #1

    I have three differential equations, for these I have found the eigenvalues and eigenvectors. After that I made a vector general solution for the system of equations. From this vector, how can I predict the long term behaviour of the system?

  2. jcsd
  3. Apr 20, 2012 #2


    User Avatar
    Science Advisor

    You know, I hope, that if [itex]\lambda[/itex] is an eigenvalue, then [itex]e^{\lambda x}[/itex] is a solution to the differnential equation. What happens to [itex]e^{\lambda x}[/itex] as x goes to infinity if the real part of [itex]\lambda[/itex] is negative?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Vector General Solution
  1. General solution (Replies: 2)

  2. General solution (Replies: 7)

  3. Trig General Solution (Replies: 2)