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Hoa

  • 3 years ago

solve f(n+2) -4f(n+1) +4f(n) = n subject to f(0) = 5 and f(1) =11.

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  1. JamesJ
    • 3 years ago
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    Well, have you written out the first 10 terms or so?

  2. JamesJ
    • 3 years ago
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    ...Begin to look for patterns...

  3. Hoa
    • 3 years ago
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    I have to write down the f(n) =... by 2ways: generating function and use lamda method

  4. Hoa
    • 3 years ago
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    using generating function: I have F(x) =\[\sum_{k=0}^{\infty}f(x)x^k = f(0) +f(1)x +f(2)x^2 +f(3)x^3+......\]

  5. JamesJ
    • 3 years ago
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    I must confess I don't know this part of mathematics. I would have to answer this question using some mix of intuition and luck. I am not familiar with how to use generating functions and the like to answer it.

  6. Hoa
    • 3 years ago
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    I got it. Thanks for reply my message. I have test on Friday, I will try to figure out in the book. I am near result. just need the confirmation from people who is better than me. Thanks anyway.

  7. Hoa
    • 3 years ago
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    I will post another question, Take a look and if you have idea please, guide me

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