Finding y(t) for ODE y'' - 3y' = 0 with conditions y(0) = 9, y(1) = 7

[mr_coffee]

Hello everyone, I have time again to do more math so here i am!
I'm confused on what they want me to do here, I found A and B but they arn't pretty and i dind't even think they are right. Here is the problem, it has 2 inital conditions, both y(x) no y'(x) which also confused me.
ind y as a function of t if
y'' - 3y' = 0,
y(0) = 9, y(1) = 7 .
y(t) =

http://img51.imageshack.us/img51/566/lastscan0ei.jpg

THanks! any help would be great!

 

[assyrian_77]

There is a mistake in your line $$7=Be^{3t}+A$$. Can you see it?


EDIT: As so emphatically pointed out below, that is your mistake.

 

[HallsofIvy]

A and B are CONSTANTS! In y(1)= 7, you didn't set t= 1.

 

[mr_coffee]

Ahh thank you everyone, I friggin' got it:
http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/cf/6cde53ce8c93c51ddfe1e2f50b5e411.png