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Recurring relations solving differential equations

  1. Jan 6, 2013 #1
    Can anyone explain why we obtain the part where i put the red underline.
    I understand everything until then
    OW2Dw.png
    IOZnj.png
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jan 6, 2013 #2

    LCKurtz

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    In the line above your red line, write the first sum as the two sums$$
    \left(\sum_{n=0}^1 + \sum_{n=2}^\infty\right)(n+2)(n+1)a_{n+2}x^n$$
    The red lined terms come from the first sum. The second sum starting with ##n=2## is combined with the other like sum.
     
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