Laplace transform of cos⁡(4t) u(t) is1 points/(s^2+16)4/(s^2+16)s/(s^2-16)4/(s^2-16)

Question

Laplace transform of cos⁡(4t) u(t) is1 points/(s^2+16)4/(s^2+16)s/(s^2-16)4/(s^2-16)
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Solution 1

The Laplace transform of cos(4t)u(t) is s/(s^2+16).

Here's the step-by-step solution:

  1. The Laplace transform of cos(at)u(t) is given by the formula s/(s^2+a^2).

  2. In this case, a = 4.

  3. Substituting a = 4 into the formula, we get s/(s^2+4^2) = s/(s^2+16).

So, the Laplace transform of co Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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