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Abstract
An integral transmute that is useful in resolvingcomplex linear differential equations. It discovers extensive applications in numerous areas of physics, economics, control engineering, optics,mathematics, pharmacy, electrical engineering, signal processing and optometry. Laplace transform construed as a conversionof time domain functions to the frequency domain functions. In complex angular frequency, input and output behaves as input. In this study we have discussed various Laplace transform in technical fields like Mechanical systems, Engineering, Electronics, image processing and also in solving complex differential equations.