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Math Help - Please help!

  1. #1
    Newbie
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    Please help!

    using an appropriate substitution,solve the recurrence equations:-
    1. yn=((n-1)/n)yn-1+n for n>=1 y0=1
    2. yn=((n-1)/n)yn-1+1/n for n>=1 y0=5
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Bhavani View Post
    using an appropriate substitution,solve the recurrence equations:-
    1. yn=((n-1)/n)yn-1+n for n>=1 y0=1
    2. yn=((n-1)/n)yn-1+1/n for n>=1 y0=5
    Well lets start by making them readable:

    1. y_n = ((n-1)/n) y_{n-1} + n for n>=1 y0=1

    2. y_n = ((n-1)/n) y_{n-1} + 1/n for n>=1 y0=5

    or better yet:

    1.\ y_n = \frac{n-1}{n} y_{n-1} + n for n \ge 1\ y_0=1

    2.\ y_n = \frac{n-1}{n} y_{n-1} + \frac{1}{n} for n\ge 1\ y_0=5

    CB
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