# Math Help - Rossby Waves dispersion relation

1. ## Rossby Waves dispersion relation

Hello,

I've worked through the derivation of the dispersion relation of Rossby Waves on
Rossby wave - Wikipedia, the free encyclopedia

I've been able to get the dispersion relation correct apart from the sign of the term involving beta, the Rossby parameter. It says there should be a minus sign in front of that term, however I cannot see where the minus sign comes from.

2. I think there is a mistake in third term

$
\displaystyle
\beta v'=-\beta \; \frac{\partial \psi}{\partial x}.
$