A Note for Finding Exact Solutions of Some Nonlinear Differential Equations
1Namık Kemal University, Department of Mathematics, TEKIRDAĞ
2Ege University, Department of Mathematics, Bornova, IZMIR
2Ege University, Department of Mathematics, Bornova, IZMIR
Sigma J Eng Nat Sci 2018; 36(2): 433-440
Abstract
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.
Keywords: Nonlinear differential equations, Bernoulli equation, partial differential equations, exact solution.
