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Homework Help: Undetermined coefficients

  1. Oct 18, 2011 #1
    1. The problem statement, all variables and given/known data
    determine the particular solution for the differential equation 2x^double prime+x=3t^2


    2. Relevant equations



    3. The attempt at a solution
    since F(t)=3t^2 I used At^2+Bt+C and the first derivative is 2A+B

    plugging back in I get
    At^2+(4A+B)t+(2B+C)=3t^2

    is this correct?
    how do I solve for the variables?
     
  2. jcsd
  3. Oct 18, 2011 #2
    I got A=3, B=-12, and C=24 does that look right?
     
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