Right bit of a horrible looking one here:

We've got the following:

where

and

are constants.

We have already shown that

, and because of this we have a vector field

s.t.

. So assuming that

:

Find 2 equations for

, determine

and verify that they're consistent.

Right, so does the fact that

mean that

is of the form

? This sort of makes sense.

If so, then do we just complete the cross product and then have two differential equations, essentially

and

.

If so, how do I go about formulating these two equations, I don't seem to be having much luck..

Thanks in advance