- #1

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## Homework Statement

The problem calls for finding the relationship between the constants A and B in the following equation of an instantaneous electric field:

E=[A(x+y)[itex]\widehat{a}_{x}[/itex]+B(x-y)[itex]\widehat{a}_{y}[/itex]]cos(wt)

The details of the medium in which the field exists are that it is homogenous, isotropic, linear, and is source-free.

## Homework Equations

## The Attempt at a Solution

I really have no idea how to go about solving this problem. Initially I was thinking I was just playing around with the vector equation by seeing what it looks like when I plug in different values of x and y and when t=0 or 1. Here is what that looked like:

Can someone please help point me in the right direction?