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