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ODE System with Variable Coefficients

  1. Oct 27, 2011 #1
    suppose we have this equation :


    x is a n by 1 column matrix and A is a n by n matrix that is the matrix of coefficients.
    coefficients of equations and consequently A are depend on t which is time.

    how i Solve this equation ?

  2. jcsd
  3. Oct 28, 2011 #2


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  4. Oct 28, 2011 #3
    in this article that explain the method of peani baker


    i can not understand how in page 5 for first example it calculate element (1,2) of I(t)(with subscript n)

    can anybody help?
    Last edited: Oct 28, 2011
  5. Oct 28, 2011 #4


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    by induction
    =∫((1)(tn-1αn-1/(n-1)!)+(t)((a t)n-1/(n-1)!))dt
    and so on
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