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Differential equations and series

  1. Dec 2, 2013 #1
    1.

    1.The problem statement, all variables and given/known data


    Use power series to evaluate intial value problem y''-xy'-2y=4x^2 y(0)=1 and y'(0)=1

    2. Relevant equations


    3. The attempt at a solution



    I got the series Cnx^n and took its derivative and plugged it into the formula and I got but when I factor out x^n and set that experssion equal to 4x^2, I realize I'm stuck and I'm not sure If I'm doing it correctly.
     
    Last edited: Dec 2, 2013
  2. jcsd
  3. Dec 2, 2013 #2

    pasmith

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    What that tells you is that coefficient of [itex]x^2[/itex] on the left hand side is 4, and the coefficient of every other power of [itex]x[/itex] on the left hand side is zero.
     
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