Abstract: The two species Lotka—Volterra equation has important applications. The analytical solution of the  equation can be obtained by using the integral method and the adjustment coefficient method. First ,a linear  transform is carried out and unknown parameters are embedded in the transform. Then the first equation is substituted into the second equation. The analytic solutions of the new equation is obtained by integrating method and parameter adjustment method. Finally, the general solution of the population of two species Lotka—Volterra equation is derived. 

Key words: Two species , Lotka—volterra equation, Elementary integral method, General solution