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February 3rd, 2019, 06:08 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 $$u_{n}\sum_{k=1}^{n1}T(n,k)u_{k}=f(n)$$ 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, 03:45 PM  #2 
Senior Member Joined: Dec 2015 From: iPhone Posts: 380 Thanks: 59 
Solve the system of equations given for $\displaystyle n=1,2,...$ to $\displaystyle n1$ .


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order, recurrence, solving 
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