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 February 3rd, 2019, 05:08 AM #1 Newbie   Joined: Feb 2019 From: France Posts: 1 Thanks: 0 Solving recurrence of order n Hi, I came across this sequence $u_n$ where $u_1=1$ and subsequent terms are given by the recursive formula $$u_{n}-\sum_{k=1}^{n-1}T(n,k)u_{k}=f(n)$$ where $T(n,k)$ are real non constant coefficients and $f$ is a given function. Is there a general method to solve this equation? ... Thanks in advance.
 February 3rd, 2019, 02:45 PM #2 Senior Member   Joined: Dec 2015 From: somewhere Posts: 715 Thanks: 96 Solve the system of equations given for $\displaystyle n=1,2,...$ to $\displaystyle n-1$ .

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