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Homework Help: Homog. linear system w/ matrix method, help appreciated

  1. Apr 30, 2007 #1
    1. The problem statement, all variables and given/known data

    Solve the system:

    dx/dt =
    20 0
    40 0

    with initial value x(0) =

    so x(t) = [] ?

    2. Relevant equations

    I'm not really positive how to do this and how to go about finding x(t). I've looked at wolfram mathematics, and tried following their definitions, but am a bit confused as to how finding eigenvalues/vectors play into finding x(t) I haven't had linear algebra either.

    Last edited: Apr 30, 2007
  2. jcsd
  3. Apr 30, 2007 #2


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    Science Advisor

    You shouldn't be doing problems like this if you don't know any linear algebra! In fact, it's probably a bad idea to take differential equations before taking Linear Algebra.
  4. Apr 30, 2007 #3
    Well... they don't require lin alg for diff eq at my school... I'm taking linear over the summer
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