Application of Stable Modulation Scheme

Application of Stable Modulation Scheme for Solving Bernoulli Differential Equation

Solving of Bernoulli differential equation traditionally always is done applies linearization procedure by using Bernoulli transformation function. This paper introduces a new technique of solving the Bernoulli differential equation without using linearization by application of stable modulation scheme.

Application of the method named Stable Modulation Technique (called as SMT) is started by splitting the Bernoulli differential equation to parts of linear and nonlinear, then writes down the solution of nonlinear part in the form of modulation function which its initial value besides played the part of as amplitude A and also is modulated into a phase function F(A). The exact solution of Bernoulli differential equation given in AF(A) formula obtained after replacing the linear solution part into initial value of its nonlinear part solution. In this paper presented the usage of SMT for solving the storage model of magnetic energy into inductor.

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