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
Wow thanks for that!
Ahh so it looks like I was on the right track with the cross product then.
How do I go about verifying that they are consistent, would this involve partially differentiating the first wrt and vice versa, showing that you get the same values for ?
Thanks again for that great reply!