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Indicial Equation Help

  1. Apr 18, 2010 #1
    1. The problem statement, all variables and given/known data

    2x(x−1)y''+3(x−1)y'−y=0,
    which has a regular singular point at x=0.

    Find the indicial equation at x = 0.


    2. Relevant equations

    y= x^r
    y' = r(x^(r-1))
    y'' = r(r-1)(x^(r-2))


    3. The attempt at a solution

    I tried replacing the equation with the relevant equations, but am not sure what to do with the x-1.

    The correct answer to this is r^2-0.5r, I'm not sure how to get to it though, can somebody please give me a hint as to how to solve this?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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