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be separated into additive components before undergoing Laplace Transformation. The Laplace Transform of the product of a function and its independent variable raised to n is equal to the nth derivative of the Laplace Transformation of the function. The Inverse Laplace of the Laplace Transformation of a function results in the original function.

be separated into additive components before undergoing Laplace Transformation. The Laplace Transform of the product of a function and its independent variable raised to n is equal to the nth derivative of the Laplace Transformation of the function. The Inverse Laplace of the Laplace Transformation of a function results in the original function.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Functions can be separated into additive components before undergoing Laplace Transformation. The Laplace Transform of the product of a function and its independent variable raised to n is equal to the nth derivative of the Laplace Transformation of the function. The Inverse Laplace of the Laplace Transformation of a function results in the original function. One way of getting the Laplace Transformation of a function is via the Completing the Square Method.
Transcribed Image Text:Functions can be separated into additive components before undergoing Laplace Transformation. The Laplace Transform of the product of a function and its independent variable raised to n is equal to the nth derivative of the Laplace Transformation of the function. The Inverse Laplace of the Laplace Transformation of a function results in the original function. One way of getting the Laplace Transformation of a function is via the Completing the Square Method.
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