Stay tuned to the Testbook App for more updates on related topics from Mathematics, and various such subjects. We hope that the above article is helpful for your understanding and exam preparations. The Laplace transform is denoted by the formula If a function f(t), is defined for all +ve values of t.
To understand what an inverse Laplace transform is, it is necessary to understand the Laplace transform. Such a transformation is called Inverse Laplace transform. The transformed functions and their solutions can be transformed back to the function in the original domain with the help of inverse integral transforms employing inverse kernel functions, K-1(y,x). It is also helpful in solving linear differential equations as it transforms differential equations into easier to deal with algebraic equations and is an important part of applied mathematics, engineering, electrical and control systems. Laplace transform is an integral transform generally used to transform differential equations in a real time domain to polynomial equations in a complex frequency domain. The inverse Laplace transform is an integral transform that changes a function of a complex variable into a function of a real variable, usually time. In situations where the differential equations require to be transformed into algebraic equations for easier calculation, study and analysis, Laplace transform comes into the picture. We will also solve questions for more understanding. In this particular article, you will learn about the inverse Laplace transform definition, formula, properties and comparison with the Laplace transform.
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