Can someone explain the use of Laplace Transformation, just describe the theory and use of it?

The laplace transformation is used to simplyfy the differential equations will become algebric. This will gives the even compose differenctial equations for control theory. The algebric is mainly used to separate the terms in such a way that the solution is alomost in simple algorithm. And also it is uses to get the initial conditions for free. This laplace tranformations is used to solve the initial value problems for a linear equations an partial equations.

We can use lapalce trasformation on the derivative to convert into a multiple of the domain variable.

The main real world application of laplace transformation is to conducte while sending singnals on any two-way communication medium. thus the infomation is sent over medium like mobile phones, converted into time-varying wave and then it is super-imposed on the medium.

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