If L { f (t)} = F(s) = s3+1(s−1)2(s2+2s+5) , find the following:(i) f (t) (ii) L {t f (t)} (iii) L ©e−2t f (t)ª (iv) L−1 ©e−3sL { f (t)}

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If L { f (t)} = F(s) = s3+1(s−1)2(s2+2s+5) , find the following:(i) f (t) (ii) L {t f (t)} (iii) L ©e−2t f (t)ª (iv) L−1 ©e−3sL { f (t)}
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Solution 1

The problem you've given is related to Laplace Transforms, a mathematical tool often used in engineering and physics. Here's how you can solve it:

(i) To find f(t), you need to find the inverse Laplace transform of F(s). However, F(s) is not in a standard form that can be easily recognized from a t Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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

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