The Reversion Method for Solving Nonlinear Differential Equations

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Abstract
The subject considered in this paper is the presentation of a method for the solution of ordinary nonlinear differential equations of a certain type. The method is based on the algebraic procedure used in reverting power series. By the use of this method, ordinary differential equations having certain type of nonlinearity are reduced to systems of linear differential equations. The resulting linear differential equations are then solved by the Laplace transform or operational method. The general procedure is illustrated by means of examples, and the method is applied to nonlinear electric circuits.

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