| Application of Stable Modulation Scheme for Solving Bernoulli Differential Equation |
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Abstract
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. Reference: www.rohedi.com |
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