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- Why do we use the Laplace transform in systems analysis?
- How is Laplace transform used in system Modelling?
- What is the importance of application of the Laplace transform to the analysis of circuits with initial conditions?
- What is Laplace used for in real life?
Why do we use the Laplace transform in systems analysis?
It is used to convert complex differential equations to a simpler form having polynomials. It is used to convert derivatives into multiple domain variables and then convert the polynomials back to the differential equation using Inverse Laplace transform.
How is Laplace transform used in system Modelling?
Laplace transformation provides a powerful means to solve linear ordinary differential equations in the time domain, by converting these differential equations into algebraic equations. These may then be solved and the results inverse transformed back into the time domain.
What is the importance of application of the Laplace transform to the analysis of circuits with initial conditions?
One significant advantage of the Laplace transform is that it includes both stead-state and initial conditions. This allows for obtaining both the steady-state response as well as the transient response. The s-domain equivalent elements can be readily used in first and second order circuits.
What is Laplace used for in real life?
The Laplace transform can also be used to solve differential equations and is used extensively in mechanical engineering and electrical engineering. The Laplace transform reduces a linear differential equation to an algebraic equation, which can then be solved by the formal rules of algebra.
