2s2+5s-4 Find the inverse transform: F(s) s3+s2-2s A. 2 – et – 2e-2t C. 1+ 2et – e-2t B. 2 + et – e-2t D. 1- et – 2e-2t

Q: Find the Inverse Laplace Transform 42 9s-30

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Q: L[3e=2¢ + 3e3t]

A:

Q: 1-e g(t) t

A: Given the given function is gt=1-ett. Apply formula Lftt=∫s∞fsds L1=1sLeat=1s-a log a-log b=logab

Q: Find the Laplace transform of tet-1u(t-1)

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Q: Find the fourier transform

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Q: Find the Laplace Transform of: e-2 -2t sin2t + e3tt2

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Q: Find the inverse Laplace transform of the following functions: a) F(s) = (s+a)(s+b)

A: Given function: We have to find the inverse Laplace transform of the given function.

Q: L{ sin2(t-1) cos3rdt}

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Q: f (t) = eat+b

A: The solution is given below:

Q: What is the Laplace transform of (1 + e4t)?

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Q: t'coskt

A: Use the formulas below to find the Laplace transform.

Q: (d) 2 s² +9 (e) s²-1 (s² + 1)² (f) 1 (s −2)² - 4

A: The given Laplace functions,(d) (e) (f) .The aim is to find the inverse Laplace transform for each…

Q: e at -e bt

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Q: Derive the laplace transform for f(t)= 3 e-St

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Q: Find the Laplace transform of 4t2 + 5t3.

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Q: Find the Laplace transform of (cosht + 1)2.

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Q: Find Laplace transform of the function t2 Sint.

A: Find Laplace transform of the function t2 Sint.

Q: Find the Laplace transform of f(t) = sinbt .

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Q: find the Laplace transform of cos3tcos5t

A: In this question, we use the trigonometric identity and then properties of Laplace transform. L…

Q: sinudu

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Q: 5s-6 s2-3s

A: Given Laplace transform is; (5s-6)/(s2-3s).

Q: Find Laplace transform by definition f(L(T)) = e-107

A: We have to find Laplace transform of given function using Definition.

Q: -St Find aG 2t? t te

A: As per the instruction, we will answer only the first one. So,…