I'm assuming that the integral is:
You've done well. Just multiply the right-hand side a bit more and collect like terms:
Equating the coefficients, we see that:
etc.etc.
So far I have
You have to combine them right and get a common denominator? So I have
But what do I do from here? So far, we have only done examples in class with 2 variables, A and B, but not with C. So its throwing me off.
Alternatively.
call your equation (1):
now, plug in y = 0 into (1). this will get rid of B and C and give you an equation to solve for A
then, plug in y = 3 into (1). this will get rid of A and B and give you an equation with C as the only unknown, so you can solve for it
then, plug in y = -2 into (1). this will get rid of A and C and...you know the drill