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    I'm stuck on the following question:

    I don't know how to work out the general recurrence, I've done my best attempt to get somewhat one but I know it's wrong but it's as close as I can get.

    Even with my general recurrence I don't know what to do with it to get the general solution.

    Here is my working (plz help):
    https://imgur.com/a/FZyPw

    Sry it's a mess, being at it for many hours on the same question. My general method is finding a2,a3,a4, etc in terms of a0,a1 then trying to spot a pattern from those to get a general recurrence, I don't really know what I'm meant to be doing.
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    (Original post by Sayless)
    I'm stuck on the following question:

    I don't know how to work out the general recurrence, I've done my best attempt to get somewhat one but I know it's wrong but it's as close as I can get.
    Caveat: I have no background in this at all. That said, I think I can help.

    As at A-level "write down" implies little or no working required.

    To get the general recurrence relation, consider the coefficients of x^n in the d.e.

    E.g. For the y'' part it will be (n+2)(n+1)a_{n+2}

    Can you now complete the recurrence relation?
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    (Original post by ghostwalker)
    Caveat: I have no background in this at all. That said, I think I can help.

    As at A-level "write down" implies little or no working required.

    To get the general recurrence relation, consider the coefficients of x^n in the d.e.

    E.g. For the y'' part it will be (n+2)(n+1)a_{n+2}

    Can you now complete the recurrence relation?
    Thanks for the help, I managed to complete it now and yeah what you suggested is right, I had to look at the coefficients of x^n and form an equation = 0, then rearrange it for a_n+2.
 
 
 
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