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MacLaurin Series solution to initial value problem

  1. Mar 24, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the first six nonvanishing terms in the Maclaurin series solution of the initial value problem (x^2 - 3)y''(x) + 2xy'(x) = 0 where y(0) = y0 and y'(0) = y1.

    2. Relevant equations

    3. The attempt at a solution

    Should with just something like Φ(x) such that Φ(x) = [tex]\sum[/tex] from 0 to infinity of Φn(x) / n! * xn?

    Or should I use the undetermined coefficient solution of the form [tex]\sum[/tex] from k=0 to infinity of akxk?
  2. jcsd
  3. Mar 25, 2009 #2


    Staff: Mentor

    I would go with the latter.
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