2011Advances in Pure MathematicsOpen access

New Solutions to Nonlinear Ordinary Differential Equations

Moawia Alghalith

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Abstract

In contrast to the Euler method and the subsequent methods, we provide solutions to nonlinear ordinary differential equations. Consequently, our method does not require convergence. We apply our method to a second-order nonlinear ordinary differential equation ODE. However, the method is applicable to higher order ODEs.

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In contrast to the Euler method and the subsequent methods, we provide solutions to nonlinear ordinary differential equations. Consequently, our method does not require convergence. We apply our method to a second-order nonlinear ordinary differential equation ODE. However, the method is applicable to higher order ODEs.

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Available abstract

In contrast to the Euler method and the subsequent methods, we provide solutions to nonlinear ordinary differential equations. Consequently, our method does not require convergence. We apply our method to a second-order nonlinear ordinary differential equation ODE. However, the method is applicable to higher order ODEs.

Key concepts: Mathematics, Ordinary differential equation, Ode, Nonlinear system, Bernoulli differential equation, Integrating factor, Mathematical analysis, Convergence (economics)

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