The transform takes a differential equation and turns it into an. Laplace transform converts the given real-valued function into a complex-valued function by integrating the function. 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. Here f(t) is the function-original, F(p) is the Laplace transform of function f(t) and p s + i, the complex variable. Laplace transform, in mathematics, a particular integral transform invented by the French mathematician Pierre-Simon Laplace (17491827), and systematically developed by the British physicist Oliver Heaviside (18501925), to simplify the solution of many differential equations that describe physical processes. The Laplace transform is a very efficient method to solve certain ODE or PDE problems.
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