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Non-Homogenous ODE Using Series Solution Method

  1. May 23, 2009 #1
    1. The problem statement, all variables and given/known data

    I am studying some issues on the differential equation issues.
    Currently I am involved with a non-homogeneous Chebyshev differential equation. The problem is to find power series solution to equation below:

    (1-x^2)*y’’-x*y’+y=1/(1-x)

    in which the x will be in [-1 ,1].
    the main problem is the singularity of the non-homogenous part in x=1 which is included in problem domain.

    in advanced thank a lot for contribution.

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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