University of Isfahan Mathematics and Society 2345-6493 3 2 2018 08 23 Bernoulli family and the solution of the Bernoulli differential equation Bernoulli family and the solution of the Bernoulli differential equation 45 58 22894 10.22108/msci.2018.103951.1225 FA Seyyed Ali Mohammad Mohseni Al-Husseini Yazd University Hengameh Senemar Yazd University Journal Article 2017 09 08 The Bernoulli differential equation is a fascinating topic with significant applications in mathematics, engineering, and physics. In this article, we explore the history of the emergence and expansion of the Bernoulli differential equation. We also delve into the role of scholars who have attempted to solve this equation, notably the Bernoulli family, which, over three generations, contributed eight mathematicians to the community. Jacob, Daniel, and Johann Bernoulli played a prominent role in solving this equation. Finally, we examine the applications of the Bernoulli differential equation. The Bernoulli differential equation is a fascinating topic with significant applications in mathematics, engineering, and physics. In this article, we explore the history of the emergence and expansion of the Bernoulli differential equation. We also delve into the role of scholars who have attempted to solve this equation, notably the Bernoulli family, which, over three generations, contributed eight mathematicians to the community. Jacob, Daniel, and Johann Bernoulli played a prominent role in solving this equation. Finally, we examine the applications of the Bernoulli differential equation. https://math-sci.ui.ac.ir/article_22894_d9644ef6a07f15d29e4d29e43f8da3da.pdf