Consider the following recurrence:

$($xt$+1,$yt$+1)=($f$($xt$,$yt$),$g$($xt$,$yt$))$

$(2\mathrm{.}39)$

Here, f$()$ and g$()$ are multivariate functions.

$($a$)$

Derive an expression for $$xt$+2$xt in terms of only xt and yt$.$

$($b$)$

Can you draw an architecture of a neural network corresponding to the above recursion for t varying from $1$ to $5?$ Assume that the neurons can compute any function you want.