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Homework Help: 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


    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


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    Homework Helper

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