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In this article, we introduce some results with respect to the integrality and exact solutions of some 2nd order algebraic DEs. We obtain the sufficient and neces-sary conditions of integrable and the general meromorphic solutions of these equa-tions by the complex method, which improves the corresponding results obtained by many authors. Our results show that the complex method provides a powerful math-ematical tool for solving a large number of nonlinear partial differential equations in mathematical physics.