Electronic Journal of Differential Equations, Vol. 2020 (2020), No. 48, pp. 1-19. Title: Phase portraits of Bernoulli quadratic polynomial differential systems Authors: Jaume Llibre (Univ. Autonoma de Barcelona, Catalonia, Spain) Weber F. Pereira (Univ. Estadual Paulista, Sao Jose do Rio Preto, SP, Brazil) Claudio Pessoa (Univ. Estadual Paulista, Sao Jose do Rio Preto, SP, Brazil) Abstract: In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincare disk of Bernoulli quadratic polynomial differential systems in R^2. Submitted March 29, 2019. Published May 22, 2020. Math Subject Classifications: 34C35, 58F09, 34D30. Key Words: Bernoulli equation; Poincare disk; phase portrait.