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System of ODE

  1. Apr 25, 2006 #1
    Hi, Please can someone help me on how to do this exercise.

    Give a fundamental matrix for the system:

    the solution is like:
    {v1(t)=e2t*cos(4t)[1;4]+e2t*sin(4t)[-1;-2], v2(t)=e2t*cos(4t)[1;4]+e2t*sin(4t)[0;-4]}

    [1;4].......are colunm vectors.
    IT is just a form sample since it is a multiple choice question, I just took one solution to show you what it might look like.

    Thank you,
    Last edited: Apr 25, 2006
  2. jcsd
  3. Apr 25, 2006 #2


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    Assuming it's a standard type qu....

    1. Write the system in matrix form.
    2. Find the eigenvalues and eigenvectors.
    3. Compare with the multiple choice of general forms you have.
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