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Systems of Homogeneous Linear Differential Equations

  1. May 12, 2012 #1
    1. The problem statement, all variables and given/known data
    I uploaded the problem statement please see attachment for original problem. The problem number is 4.


    2. Relevant equations



    3. The attempt at a solution
    For clarity I uploaded what I have done please see the attachment with my work on it. I am not sure if I am doing it right or not. If I am doing the problem correctly am I finished or should I do more? Just so you know I am doing the part from where it says suppose we are given a system of differential equations to the part where it says then finding the corresponding eigenvectors V.
     

    Attached Files:

  2. jcsd
  3. May 12, 2012 #2

    HallsofIvy

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    You've got me confused! #4 on the page you give (there are NO "problems". This looks like a review sheet telling you what concepts you should review, not individual problems.) refers to [itex]y_1'= y_1+ 2y_2[/itex] and [itex]y_2'= 3y_1+ 2y_2[/itex] while your work sheet deals with [itex]y_1'= 5y_1+ 6y_2[/itex] and [itex]y_2'= 2y_1+ y_2[/itex].
     
  4. May 13, 2012 #3
    I uploaded the incorrect thing sorry and I am confused as well but I can tell you I am not working the y1(prime) = y1+2y2 and y2(prime) = 3y1+2y2 part of it. I am trying to work out the general concepts listed. I am going to redo it and resubmit it.
     
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