equation

Hi,
I have the free maxima 5.12
can I solve a linear finite difference equation, in a symbolic way, with
Maxima?
For example, if I give to Maxima the input:
x(n+1)+x(n)=0
then Maxima have to give me the output:

x(n)=c*(-1)^n. (where c depends on initial condition).

If answer is no, can you suggest any other software which can do it? Is
there anything freeware?

Thanks
Adriano




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