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Differential equation

  1. Dec 4, 2008 #1
    1. The problem statement, all variables and given/known data

    4y'-4y=x*e^(3x)

    2. Relevant equations

    None

    3. The attempt at a solution

    The question is to find the particular solution

    So I kinda know the way to solve this thing but the point is the start. I cannot figure out what will I set my y equal to. if it's only e^(3x) I will set my y=A*x*e^3x then find y' and substitute in the original equation to find the particular solution.
     
  2. jcsd
  3. Dec 4, 2008 #2

    lurflurf

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    Homework Helper

    4y'-4y=x*e^(3x)
    4(D-1)y=x*e^(3x)
    4(D-3)^2(D-1)y=0
    solve
    4(D-3)^2(D-1)y=0
    then eliminate the extraneous solutions of

    4(D-1)y=x*e^(3x)
     
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