Orodruin: did you mean the Poisson equation? The point of my integrating factor was to reduce the order of the diff eq, of course the LHS was already a total derivative.
Ray: changing the order of integration on the original nested integral (from naively integrating twice) did the trick and...
Homework Statement
I want to show that $$f''(x) = g(x)$$ has a solution of the form $$f(x) = 2\int_0^{x} dx' (x-x') g(x').$$ It's not hard to verify that it is a solution, the question is how to find it. This should be easy and is likely a standard problem but I haven't found the right...
Hi,
I'm trying to show that electromagnetism and scalar field theories satisfy the DEC. I know how to find T_{\mu\nu} and all that and what I have to show (T_{\mu\nu} T^\nu_{\ \lambda} t^\mu t^\lambda\leq 0 and T_{\mu\nu} t^\mu t^\nu\geq 0 for timelike t^\mu), but I'm having trouble getting...
So I was wondering about this... if \omega is a k-form and \eta is a l-form, and m is a k+l+1 manifold in \mathbb{R}^n, what's the relationship between \int_M \omega\wedge d\eta and \int_M d\omega\wedge \eta
given the usual niceness of things being defined where they should be, etc. etc. The...