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Finding the Wronskin confusion! weee! DiffEQ

  1. Feb 18, 2006 #1
    Hello everyone, I got part's A and B of this problem, but now they are asking me to find the wornskin of W(y1,y2) and i'm confused on what they want, i understand that y1y2' - y1'y2, if that equals 0 then its L.D. if its != 0, then its L.I. Here are the directions:


    Find the function y_1 of t which is the solution of
    100y'' + 120y' + 27y = 0
    with initial conditions y_1(0) = 1, y_1'(0) = 0 .
    y_1 = [​IMG]

    Find the function y_2 of t which is the solution of
    100y'' + 120y' + 27y = 0

    with initial conditions y_2(0) = 0, y_2'(0) = 1 .
    y_2 =[​IMG]

    Find the Wronskian
    W(t) = W(y_1,y_2).

    W(t) =

    This is what I did but now i'm stuck on what i'm suppose to do next:
    [​IMG]
     
  2. jcsd
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