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Vector General Solution

  1. Apr 20, 2012 #1
    Hello,

    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?

    -Thanks.
     
  2. jcsd
  3. Apr 20, 2012 #2

    HallsofIvy

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    Staff Emeritus
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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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