Subclass of differential linear equations with an imposed and periodic solution
Keywords:
Second order ordinary equation, Dynamic system, Parametric resonanceAbstract
The imposed and periodic solution is an even function with a finite number of Fourier coefficients and a mean value of zero. The differential equations having as solution this imposed function are specified. The given function multiplies with time and with a characteristic coefficient, so it is the oscillating term of the second fundamental solution of the differential equation. The singular integration of the characteristic coefficient is determined. A differential system is specified and integrated for calculation of the periodic term of the second fundamental solution. When the characteristic coefficient is zero, the second fundamental solution is also the periodic solution.
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