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Diff Eq: Variation of Parameters for 3rd-ODE's

  1. Mar 29, 2009 #1
    1. The problem statement, all variables and given/known data

    http://img27.imageshack.us/img27/6083/variationofparametersfop.jpg [Broken]
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Mar 30, 2009 #2

    HallsofIvy

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    I don't see any attempt to do anything yourself.
     
  4. Mar 30, 2009 #3
    Well I'm not sure how to start it off.
     
  5. Mar 30, 2009 #4
    Then you need to tell us what is confusing you.
     
  6. Mar 30, 2009 #5
    [tex]W_1(t)[/tex]= [tex]g(t)(y_2(t)y_3'(t)-y_3(t)y_2'(t))[/tex]
    [tex]W_2(t)[/tex]=[tex]-g(t)(y_1y_3'-y_3y_1')[/tex]
    [tex]W_3(t)[/tex]=[tex]g(t)(y_1y_2'-y_2y_1')[/tex]

    Then, [tex]u_1(t)=\int(W_1/W)[/tex] and so forth for [tex]u_2[\tex] and [tex]u_3[/tex]
     
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