How do I input this system into maple?

How to input such system

into maple so that it would solve it?

BTW we some part of system will be given to us,, which we do not know certently - may be some Ai's may be some Bi's as constants. we do not know how much constants we will get. And we would need from given constants get a soltion for other a开发者_StackOverflow中文版's and b's. in real life we will be provided with s as a constant but I hoped for general solution=)

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Let's see for k = 1

The first equation becomes:

 (1)  a0 + a1 = 0   

The second one:

 (2)  a1 - b0 - b1 = 0  

The third one

 (3)  a1 - 2 (b1) = 0   (for n=2)  

and

 (4)  a1 - 3 (b1) = 0   (for n=3)  

Subtracting (3) from (4) you see that b1 == 0

From (3), if b1=0, then a1=0 also

And from (1) and (2) then a0 and b0 are also 0.

So, at least for k=1 there are not non-trivial solutions. It seems that something else is needed as a condition for the problem.

HTH!