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Signals and Systems by Smarajit Ghosh

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4.4 BASIC PROPERTIES OF LAPLACE TRANSFORMS

Property 1   The Laplace transform of the sum or difference of time functions is equal to the sum or difference of the Laplace transform of the individual time functions.

Proof:

 

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Property 2   The Laplace transform of product of a constant and a time function is equal to the product of the constant and the Laplace transformation of the time function.

Proof:

 

image

 

Property 3   If F1(s) and F2(s) be ...

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