b. f(t)= 2 t et-3 +3 t<2 2≤t <3 3 ≤t

Q: determine the inverse Laplace transform of F.

A:

Q: -3(1-cosh 377t) t

A: We are given : -3(1-cosh 377t)t Let, f(t)=-3(1-cosh 377t)t Now, L-3(1-cosh…

Q: 8. (a) 2e' (cos 3t – 3 sin 3t) (b) 3e-2 (sinh 2t – 2 cosh 2t)

A: Given functions: (a) 2etcos3t-3sin3t (b) 3e-2tsinh2t-2cosh2t   We know that,…

Q: Find the inverse Laplace transform of the following function: 2s² +5s-6 3 2 s³ -3s² -13s +15 S

A:

Q: Derive the Laplace transform for the following time functions: d. cos wt u(t)

A: The given problem is to find the Laplace transform of the given time function. Given f(t)= cos(wt)…

Q: 1. (a) 2re2 (b) t²e'

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Q: Find the inverse Laplace transform of the following function. s² + s +1 S3 +8²-2 G(s) Your answer…

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Q: Use the transforms in the table below to find the inverse Laplace transform of the following…

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Q: s - 9 25 – 500s6 s2 + 64 s7

A:

Q: 1 (s² +25)²

A:

Q: Derive the Laplace transform of the following functions: s-a L{et cosh (bt)} = (s-a)²-b2

A: The given laplace transform  is ℒ eatcosh (bt)=s-a(s-a)2-b2

Q: Find the following Laplace and Inverse Laplace Transform of the function. (Kindly typewrite the…

A: Laplace transforms

Q: t'coskt

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

Q: Determine the inverse Laplace transform of the function below. - 4s e s + 25

A: Fs=1s2+25 L-1Fs=sin5t L-1e-4ss2+25=L-1e-4Fs =ft-4ut-4             where u(t-4) is a step function…

Q: 3. (a) e' cost (b) 3e2' sin 21

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Q: 3. Find the inverse Laplace Transform of the g

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Q: 1 (e-v5t – evZt V2t )

A: To find the Laplace transform of the below function.1te−5t−e−2t

Q: COST dr

A:

Q: Use the properties of Laplace transform to find the Laplace transform of the given function.…

A: The given function is                                      G(t)=t2e-2tsin2t To find the Laplace…

Q: Find L (t*ett)

A: You asked to find inverse Laplace transform.but your image is for Laplace transform.

Q: S F(s) %3D (s+5)6

A: