3. The populations of two somewhat interacting biological organisms Xand Y, generation

after generation, follow the pattern

X(n+1) = 6Xn - 4Yn, Y(n+1) = 2Xn,

in which Xnand Yn are the populations of the nth generation of Xand Y, respectively.

If X0=Y0=1, find out the populations Xnand Ynfor all n’s, the positive integers.