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Homework Help: 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


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    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?
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