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Undetermined coefficients

  1. Jan 22, 2009 #1

    s7b

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    How do I go about solving a DE using the method of undetermined coeficients in a question like for example;

    y''-4y'+4y=2e^2x

    I tried assuming the yp to be Ae^2x but when I plugged it into the DE I ended up with 0=2e^2x


    ??
     
  2. jcsd
  3. Jan 22, 2009 #2

    rock.freak667

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    Homework Helper

    Since '2' double root of your aux. eq'n.

    the yp should be Ax^2e^2x
     
  4. Jan 22, 2009 #3

    s7b

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    Once you substitute back into the original DE
    Do you get:

    8Ax^2e^2x + 2Ae^2x = 2e^2x
     
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