**Introduction:**

- Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.

- Laplace transform is a widely used integral transform.

**Laplace transform is just a shortcut for complex calculations**.

**Real Life Applications:**

- The Laplace transform turns a complicated nth order differential equation to a corresponding nth degree polynomial.

- In physics and engineering, it is used for analysis of linear time-invariant systems such as electrical circuits, harmonic oscillators, optical devices, and mechanical systems.

- The Laplace transform is one of the most important equations in digital signal processing and electronics.

- In Nuclear physics, Laplace transform is used to get the correct form for radioactive decay.

- It has also been applied to the economic and managerial problems, and most recently, to Materials Requirement Planning (MRP)

- The Laplace transform reduces a linear differential equation to an algebraic equation, which can then be solved by the formal rules of algebra.
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