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How to solve an implicit system?


I've to solve the following (simplificated) system:

y[t+1]=y[t]+(y[t+1]-y[t])+(z[t+1]-z[t])
z[t+1]=z[t]+(y[t+1]-y[t])+(z[t+1]-z[t])

I would like to choose the iterative way, but I don't know how to
start. Anyway any solution is accepted!

Please help me.

\bananalimone


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