f(t) = t sinh 5t 5s 5s С. (s2+25)2 А. (s2-25)2 10s 10s В. (s2-25)2 D.- (s2+25)2

Q: Find the Laplace transform

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Q: If L{f"(t)} = arctan ), f(0) = 2 and f'(0) = 1, find L{f(t)}. %3D

A: Given - If ℒf''t = arctan12 , f0 = 2 and f'0 = 1  To find - ℒft       Formula used - ℒfnt = snFs -…

Q: g(t) = t cosh 3t

A: Find the Laplace transform of the function             g(t)=t cosh(3t)

Q: Problem 5 Using Laplace transform, solve y" - 4y + 7y = 0 y(0) = 3, y'(0) = 7

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Q: f (t) = e(-3t) sin(2t) cos(3t) cosh(t)

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Q: 2 sin 4t t

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Q: 3te-2Cos4t 9.) f(t) =

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Q: f(t) = 2t² + 4t – 3 4+2s-3s? А. c 4+4s-3s? С. s3 2+2s-3s2 В. 2+4s-3s2 D. s3

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Q: f(t) = t5et 120 А. (s-4)6 24 C. (s-5)6 120 В. (s-4)5 24 D. (s-5)5

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Q: TT f(t) = 10 cos(t 6,

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Q: 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 –…

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Q: f(t) = t2 cos 2t.

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Q: L{te¬3t cos 2t}

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Q: Find the Laplace transform

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Q: f (t) 7t2 te-4t

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Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (2, -7) 351 2

A: Solution :-

Q: . f (t) = 2 cosh 3t

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Q: cos 2t cos 5t S³ +29 (s²+49) (s² +9) Option 3 None of the Choices S³ + 29 (8² +49) (s²-9) Option 4 S…

A: The solution is given as

Q: f (t) = 3u(t) + 8(t – 2) + 8(t – 5) – u(t – 7)

A: Given function is  f(t) = 3u(t) + δ(t-2) + δ(t-5) - u(t-7)

Q: 1 (² 1

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Q: f(t) = [1 – u2m(t)](2 sin t – sin 2t) |

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Q: Find the Laplace Transform

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…