Obtain the inverse Laplace transform: 4s+4 s2 (s-2) O exp(2t) -3 - 2 cos t O 5exp(2t) -3 - 2 sin t O exp(2t) -5 - 2t^2 O 3exp(2t) -3 - 2t

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

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Q: f(t) = 2sin(bt)sinh(bt)

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Q: Show that the Fourier transform of f (x)= e*/2 is e

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Q: Consider the following integrals 1 " xi dx and J = 00 1 dx, where p and q > 0. Then, I is convergent…

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Q: Derive the general formula for the Laplace transform of sin bt.

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Q: Determine the Laplace transform of f(t) = (t - 2)5e-³t+6u(t-2), quoting which standard transform…

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Q: Evaluate the Inverse Laplace Transform 35+1 F(s)=- (s- 25)

A: Given is a function F(s)   To Find: Inverse Laplace Transform of F(s)

Q: Calculate the inverse Laplace transform L 3 (In (²7³)

A: Given : LIns-3s+1 To find the inverse Laplace Transform Inverse Laplace Transform…

Q: Determine the inverse laplace transform: 3(s-5)/s2+9

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

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Q: Solve the Laplace Transform f(x) = 2/x

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Q: 35-1 F(s) -

A: The given function isF(s)=3s-1s2+25

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: Determine the Fourier transform of e cl, with ca positive number.

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Q: e at -e bt

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Q: 2s – 10 -5s

A: We have to solve given problems:

Q: FIS) = S-10 S2-65 + 8

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

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Q: Find the inverse Laplace transform of 68 +4 8²-4 8>2

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

Q: Use the definition of Laplace transform and Euler's formula to find the Laplace transform of cos t…

A: We use the definition of Laplace transform and Euler's formula to answer the given question.

Q: Find Laplace transform of the function t2 Sint.

A: Find Laplace transform of the function t2 Sint.

Q: Find the Inverse Laplace Transform of 2+4s +4 B -21 te -12 2.

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Q: 5s-6 s2-3s

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

Q: Derive the general formula for the Laplace transform of the following functions:

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