Question

Asked Dec 2, 2019

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What will be the Laplace transform of x(t)=e^{--bt}u(t) with b>0. u(t) is the unit step function.

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Step 1

Laplace transform is used to convert any signal from time (*t*) domain into complex frequency (*s*) domain. For any function *x(t)*, the Laplace transform of *x(t)* is defined as

Step 2

The unit step function *u(t)* is defined as follows:

Step 3

In this case, the expression of the function *x(t)* is given as

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