In 13–20, use the Laplace transform table and the

Chapter 7, Problem 13E

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QUESTION:

In Problems 13–20, use the Laplace transform table and the linearity of the Laplace transform to determine the following transforms.

\(\mathscr{L}\left\{6 e^{-3 t}-t^{2}+2 t-8\right\}\)

Equation transcription:

Text transcription:

\mathscr{L}\left\{6 e^{-3 t}-t^{2}+2 t-8\right\}

Questions & Answers

QUESTION:

In Problems 13–20, use the Laplace transform table and the linearity of the Laplace transform to determine the following transforms.

\(\mathscr{L}\left\{6 e^{-3 t}-t^{2}+2 t-8\right\}\)

Equation transcription:

Text transcription:

\mathscr{L}\left\{6 e^{-3 t}-t^{2}+2 t-8\right\}

ANSWER:

Solution: our aim is to solve the given F(t) by using Laplace operator.

Step 1. Let us assume  ……………. (1)

References are as follows

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