You could do either way but if you bake them separately make sure you have good support underneath the cake so that the seam won't show, put them together on the same board and ice as normal. I have done it that way and it works fine. HTH
oh it works if you are doing 2-9x 12's to make a 12 x 18.
just be careful, because with two separate batters it might bake weird. i know that my vanilla cake and chocolate cake bake differently and for different times. not sure how it would work in the same pan. but good luck, keep us updated on how it goes! 
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It is difficult to make both in the same pan unless you have a divider. I normally bake my separately especially because different cakes cook at different times. A white cake and chocolate cake have different recipes for me and take about a ten minute difference In time. Otherwise you may end up with one cooked and one under or over cooked
When I do 2 flavors, I 'marble' the center 1/3 of the pan so they actually get 3 flavors of cake! I always tell them which direction the flavors go so they can 'cross cut' and get the 3 rather than going thru one at a time with the slices.
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