If I have a function "F" in a two-dimensional space F(x,t) and its analog F' in another co-ordinate system F'(x',t') and the relation between the two is given by :
∂F/∂t −c(∂F/∂x) =∂F ′/ ∂t ′
How do I find a relation between F and F ′ and between the variables x,t and t ′ ?