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Homework Help: 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 = http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/40/88fc47fa3bd23be02e062229fe21811.png [Broken]

    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 =http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/2f/37d355db301374c3ea8042d569295d1.png [Broken]

    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:
    http://img135.imageshack.us/img135/6165/lastscan2ba.jpg [Broken]
     
    Last edited by a moderator: May 2, 2017
  2. jcsd
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