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Power series method

  1. Jun 25, 2012 #1
    Solve the following initial value problem using a power series representation of the solution around x=0. Find the recurrence relation and the first five nonzero terms of the series solution.

    d^2y/dx^2 + (2+x) dy/dx +4y=0 ; y(0)=1 ,y'(0)=0
     
  2. jcsd
  3. Jun 25, 2012 #2
    If y is a power series what does y look like?
     
  4. Jun 25, 2012 #3

    HallsofIvy

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    First this is clearly a "homework or classwork" type problem so I am moving it.
    Second, you have shown no attempt yourself to do this.

    I know several very different ways to do this, but, because you hav not shown any work yourself, I have no idea which of them is appropriate for you.
     
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