Explicit Expression for a First Integral for a Class of Two-dimensional Differential System

Rachid Boukoucha , Mouna Yahiaoui

In this paper we are intersted in studying the existence of a first integral and to the curves which are formed by the trajectories of the two-dimensional differential systems of the form    x′ = P (x,y) + x(λxexp(M(x,y) N(x,y))+ βy exp(R(x,y) S(x,y))),y ′ = Q(x,y) + y(λxexp(M(x,y) ...