Question

state the initial and final value theorems of laplace transform ?

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Answer 1

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• Initial Value Theorem is one of the basic properties of Laplace transform. It will enable us to find the initial value at time t = (0+) for a given transformed function (laplace) without enabling us work harder to find f(t) which is a tedious process in such case.

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Answer 2

Answer:

Initial Value Theorem is one of the basic properties of Laplace transform. Initial value theorem is often referred as IVT. It will enable us to find the initial value at time t = (0+) for a given transformed function (laplace) without enabling us work harder to find f(t) which is a tedious process in such case

If F(s) is given, we would like to know what is F(∞), Without knowing the function f(t), which is Inverse Laplace Transformation, at time t→ ∞. This can be done by using the property of Laplace Transform known as Final Value Theorem.

Explanation: