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HomeJournalsSigma Journal of Engineering and Natural Sciences10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-a-note-for-finding-exact-solutions-of-some-nonlinear-differential-equations
SJSigma Journal of Engineering and Natural Sciences
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Article Open Access1 January 2018

A Note for Finding Exact Solutions of Some Nonlinear Differential Equations

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Zehra PINAR*, and Turgut ÖZİŞ

Sigma Journal of Engineering and Natural Sciences 2018, Vol. 36, Issue 2, pp. 433-440; doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-a-note-for-finding-exact-solutions-of-some-nonlinear-differential-equations

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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.

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PINAR, Z.; ÖZİŞ, T. A Note for Finding Exact Solutions of Some Nonlinear Differential Equations. Sigma Journal of Engineering and Natural Sciences 2018, Vol. 36, pp. 433-440. https://doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-a-note-for-finding-exact-solutions-of-some-nonlinear-differential-equations

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Publication History
Published1 January 2018
Versionv1
AccessOpen Access
10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-a-note-for-finding-exact-solutions-of-some-nonlinear-differential-equations
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