HIGHLIGHTS
SUMMARY
The differential equation for the simple harmonic oscillator (SHO) d2 x(t) + ω 2 x(t)=0, dt2 ω>0 works as an excellent pedagogical tool for illustrating in a simple way several techniques for solving second-order differential equations such as power series expansion, and also Laplace transform (see, e_g_[1]) and Fourier series expansion (see also ). The differential equation for the SHO is approached by unilateral Fourier transform. Let us begin with a brief description of the unilateral Fourier transform and a few of its properties. The authors now observe that f (ξ) retrieved by . . .
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