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Variation of parameters- 2nd order linear equation

  1. Dec 9, 2013 #1
    1. The problem statement, all variables and given/known data
    solve 4y''-4y'+y=16et/2


    2. Relevant equations

    v1= -∫ y2g/w
    v2= ∫ y1g/w

    3. The attempt at a solution

    http://imgur.com/gxXlfdH

    the correct answer is 2t^2 e^(t/2) instead of what i have though, i am not sure what i am doing wrong?
     
  2. jcsd
  3. Dec 9, 2013 #2

    pasmith

    User Avatar
    Homework Helper

    You need to divide by the coefficient of [itex]y''[/itex] before you start:
    [tex]
    y'' - y' + \frac14 y = 4e^{t/2} \equiv g(t).
    [/tex]
     
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