We determine explicitly the foliated cohomology H∗F(M) of the affine Reeb flow F on the Hopf manifold Sn×S1. The vector space H1F(M) contains exactly the obstructions to solve the cohomological equation X⋅f=g where f and g are C∞-functions and X is any non singular vector field defining the foliation F. The topological dual of H1F(M) is the space of distributions invariant by X.