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Homework Help: Method of Undetermined Coefficients Question?

  1. Apr 9, 2012 #1
    1. The problem statement, all variables and given/known data

    Find a suitable form for the general solution of
    y'' - 4y' + 4y = 2t2 + 4t*e2t + t*sin(2t)
    For respective particular solutions, state where it is a general or a special case. DO NOT evaluate coefficents.

    2. Relevant equations

    Y1 = At2 + Bt + C
    Y2 = (Dt3 + Et2) * e2t
    Y3 = (Ft + G)sin(2t) + (Ht + I)cos(2t)

    3. The attempt at a solution

    I know the method of undetermined coefficients, and I found the particular solutions. They are right. What does it mean when it asks if a particular solution is of the general or special case? I have no clue.
  2. jcsd
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