In this note, we show that a particular solution of Bernoulli equation is also the solutions of various second and high order nonlinear ordinary differential equations. The differential equations having solution as a particular solution of Bernoulli equation are listed accordingly. We have exemplified some of nonlinear equations having solution as a particular solution of Bernoulli equation.
机构:
Peking Univ, CCSE, Sch Math Sci, Lab Pure & Appl Math, Beijing 100871, Peoples R ChinaPeking Univ, CCSE, Sch Math Sci, Lab Pure & Appl Math, Beijing 100871, Peoples R China
机构:
Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Peoples R ChinaJiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Peoples R China
Liu, Huifang
Mao, Zhiqiang
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机构:
Jiangxi Sci & Technol Normal Univ, Sch Math & Comp, Nanchang 330038, Peoples R ChinaJiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Peoples R China