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Power series method

  1. Nov 4, 2008 #1
    1. The problem statement, all variables and given/known data

    Use the power series method to find the general solution to:

    y'' + 2xy' + 2y = 0

    2. Relevant equations

    3. The attempt at a solution

    I let y(x)=a0 + a1x + a2x^2 +...+anx^n + ...

    Then i found out what y'(x) and y''(x) was. I then equated the constant terms with the original eqn and tried to then do the same with the linear terms. Im not really sure what im doing though and how to continue.
  2. jcsd
  3. Nov 4, 2008 #2


    User Avatar
    Homework Helper
    Gold Member

    Why don't you show what you've got.

    It will probably be easiest if you use LaTeX to write the sums...For example, If you write:

    [$tex] y(x)=\sum_{n=0}^{\infty} a_n x^n[$/tex]

    And delete the $ signs , you get this:

    [tex] y(x) =\sum_{n=0}^{\infty} a_n x^n [/tex]
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