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2014•Unpublished venueRequires access

QUALITATIVE ANALYSIS OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

Alka S. Kausadikar

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Abstract

This paper   is concerned with qualitative analysis of solutions of nonlinear ordinary differential equations (ODEs). This   analysis is done by using the different methods. For illustration some examples are discussed. The main tool in our analysis is based on procedure for analyzing explicit and implicit equations for the solution of various ordinary differential equations and by using Basic Existence and Uniqueness Theorem. Solving differential equations with antidifferentiation compounded by some new ones. Keywords and Phrases: Nonlinear ordinary differential equation, explicit and implicit equation, existence, uniqueness. 2000 Mathematics Subject Classification: 34A05, 34A12, 34A09

About this research paper

What this paper is about

This paper   is concerned with qualitative analysis of solutions of nonlinear ordinary differential equations (ODEs). This   analysis is done by using the different methods. For illustration some examples are discussed. The main tool in our analysis is based on procedure for analyzing explicit and implicit equations for the solution of various ordinary differential equations and by using Basic Existence and Uniqueness Theorem. Solving differential equations with antidifferentiation compounded by some new ones. Keywords and Phrases: Nonlinear ordinary differential equation, explicit and implicit equation, existence, uniqueness. 2000 Mathematics Subject Classification: 34A05, 34A12, 34A09

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Available abstract

This paper   is concerned with qualitative analysis of solutions of nonlinear ordinary differential equations (ODEs). This   analysis is done by using the different methods. For illustration some examples are discussed. The main tool in our analysis is based on procedure for analyzing explicit and implicit equations for the solution of various ordinary differential equations and by using Basic Existence and Uniqueness Theorem. Solving differential equations with antidifferentiation compounded by some new ones. Keywords and Phrases: Nonlinear ordinary differential equation, explicit and implicit equation, existence, uniqueness. 2000 Mathematics Subject Classification: 34A05, 34A12, 34A09

Key concepts: Mathematics, Ordinary differential equation, Explicit and implicit methods, Bernoulli differential equation, Nonlinear system, Uniqueness, Integrating factor, Differential equation

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