Homework Help: Relationship between A and B

1. Sep 12, 2011

PassThePi

1. The problem statement, all variables and given/known data
E = [axhat(A(x+y)) = ayhat(B(x-y))]cos(wt)

Determine the relationship between A and B

2. Relevant equations
I don't know if there are any.

3. The attempt at a solution
I've expanded the problem and reduced it to E = cos(wt)[x(A+B)axhat + y(A-B)ayhat]
I was going to take the real component and convert to the frequency domain to try to manipulate the cosines but I don't know if that's the right step.

If someone could just get me started or point me in the right direction I think I could figure it out. Not looking for someone to do this for me.

Last edited: Sep 12, 2011
2. Sep 12, 2011

fzero

It would help to know what E represents. Is it supposed to be a solution to the wave equation or some other pde? If so, you can try to apply that equation and find conditions on A and B. If E is an electric field, there is an additional condition on its divergence that might be useful.

Also, it seems likely that A(x+y) and B(x-y) are meant to be functions of those arguments, so the rearrangement that you made is probably incorrect.