Mathematically, if x ( t) is a time domain function, then its Laplace transform is defined as. The Laplace transform of a Harmonic function (sinusoidal function) (17) where is constant. The Laplace transform is a mathematical tool which is used to convert the differential equation in time domain into the algebraic equations in the frequency domain or s-domain. The Laplace transform is a mathematical tool which is used to convert the differential equations in time domain into the algebraic equations in the frequency domain or s -domain.
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