Find the Laplace transform of 1. _ƒ(t) = ½ [1 − U2„(t)](2 sin t – sin 2t) - - 2

Q: Find the Laplace transform

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Q: 8s – 18 Find the inverse Laplace transformf(t) = L¯' {F(s)} of the function F(s) : s2 – 4s + 20

A: Consider the provided the question,

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: y" + y = √2 sen √2t, y(0) = 10, y'(0) = 0

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Q: f(t) = v1+ sin t + (6t)13 + t² sin 4t

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Q: 5 6. (s+3)² 7. 3 s2-32 8. L{f(t)}: 3s²-1 s²+8+1

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

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Q: ut

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Q: t' Find L 10e-5t sin - 2.

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

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

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Q: y"+ 5y' + 4y = 0 at y(0) = 1 and y'(0) = 0

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Q: Solve the inverse Laplace transform: 2s-4 s2+8s+13

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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: (cos(t - 27/3 ) t> 2/3 .Find I f(t) if f(t) = t<0

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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: Find the Laplace Transform of the function. Show your work. f(x) = sinh(ax)

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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: B. L{te²" sin 6t} 21

A: (3) We know that  LtnFt=-1ndndsnfs where LFt=fs and LeatFt=fs-a where LFt=fs

Q: Use the Laplace transform to solve the initial-value problem x" + 4x = f(t), x(0) = 0, x'(0) = 0,…

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Q: 10. Find the Laplace transform of 10 cos Tt (1 < t < 2)

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Q: f(t) = e-2tsin²tcos²t

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Q: 27-12 s L-1 (s+4)(s²+9)

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Q: -t cos(3t

A: To solve this problem, we  use the  result of laplace transformation.

Q: find the inverse of Laplace transform

A: Consider the provided expression:

Q: 2. t5/2 sinh 4t

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Q: Find the Laplace transform

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Q: Solve the laplace transform 3x-6x= Sin 2t %3D given when t=0

A: Use the laplace transformation table and derivative formula

Q: e at -e bt

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

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Q: 1 s(s² +4)

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Q: L {f{t)} where f(t) = cos nt sin mt, m + n

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Find L (t*ett)

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

Q: find the inverse of Laplace transform

A: Find

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: F(s) = L {e& cos(4t)} II

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