Hello
[An answer was posted just now using numerical ideas;
here is an answer from a symbolic perspective]
These equations involve x^y in more than one unknown,
so inverse functions cannot be used.
I do not think you will be able to characterize even the number
of solutions, let alone their natu
Turn your problem into an optimization one and use the various
optimization abilities of R, for instance have a look at nlm:
?nlm
As an example to solve the rather simple:
x-y=0
x+y=2
We could do:
f <- function(vals) {
x <- vals[1]
y <- vals[2]
sum(c(x-y,x+y-2)^2)
}
nl
Dear:
I have a paired equation below. Can I solve (x,y) using R.
Thanks!
Xin
A=327.727
B=9517.336
p=0.114^10
(1-p)*y*(1-x)/x/(1-x^y)=A
A(1+(1-x)*(1+y)/x-A))=B
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