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Rudin Chapter 5 #29

  1. Mar 3, 2009 #1
    1. The problem statement, all variables and given/known data

    Specialize exercise 28 by considering the system

    [tex]\y'= y_{j+1} j=(1,...,k-1)
    y'_{k}= f(x)-\sum g_{j}(x)y_{j} where the summation runs from j=1 to j=k, and g_{j} and f are continuous real functions on [a,b], and derive a uniqueness theorem for solutions of the equation

    y^{k}+g_{k}(x)y^{k-1}+...+g_{2}y'+g_{1}(x)y = f(x)

    subject to initial conditions

    y(a)=c_{1}, y'(a)= c_{2}, y^{k-1}(a) = c_{k}.[\tex]



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 4, 2009 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Hi Quantumpencil! :smile:

    (you use the wrong slash: :wink:)
    Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
     
  4. Mar 4, 2009 #3
    yeah, so I didn't realize I made this thread; it's incomplete. Could I get it locked?

    The actual thread I need help on is further-down and contains the good tech + information about how I think the solution will work out.

    https://www.physicsforums.com/showthread.php?t=297047

    This is the link to the actual topic.
     
    Last edited: Mar 4, 2009
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