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EXTENSION OF SOLUTIONS OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

Sunil Narsing Bidarkar

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Abstract

In this paper we present an extension of solutions of examples of nonlinear ordinary differential equations. The solutions are obtained by using the different methods. For illustration some examples are presented. The first method is, procedure for obtaining explicit and implicit formulas for the solution of various ordinary differential equations and the second one is by using basic existence and uniqueness theorem. Key words: Nonlinear ordinary differential equation, explicit and implicit solutions, existence, uniqueness, formal identity.

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What this paper is about

In this paper we present an extension of solutions of examples of nonlinear ordinary differential equations. The solutions are obtained by using the different methods. For illustration some examples are presented. The first method is, procedure for obtaining explicit and implicit formulas for the solution of various ordinary differential equations and the second one is by using basic existence and uniqueness theorem. Key words: Nonlinear ordinary differential equation, explicit and implicit solutions, existence, uniqueness, formal identity.

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Available abstract

In this paper we present an extension of solutions of examples of nonlinear ordinary differential equations. The solutions are obtained by using the different methods. For illustration some examples are presented. The first method is, procedure for obtaining explicit and implicit formulas for the solution of various ordinary differential equations and the second one is by using basic existence and uniqueness theorem. Key words: Nonlinear ordinary differential equation, explicit and implicit solutions, existence, uniqueness, formal identity.

Key concepts: Mathematics, Ordinary differential equation, Uniqueness, Extension (predicate logic), Nonlinear system, Differential equation, Mathematical analysis, Exact differential equation

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