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Problem with differential equation

  1. Oct 2, 2011 #1
    Hi could someone please explain why

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

    Many thanks in advance.
    Last edited: Oct 2, 2011
  2. jcsd
  3. Oct 3, 2011 #2
    Your question has no sens. Or the wording is incomplete.
    One cannot explain why an equation is an equation.
  4. Oct 3, 2011 #3
    Because you have not converted it to homogeneous like other people would have?
  5. Oct 3, 2011 #4
    Solving the linear ODE : (1-x^2)y'' - 2xy'+2y = 0 is rather easy.
    A first solution is obvious. Then the equation can be reduced to a first order linear ODE.
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