Find L T Cos(37)dt 0,

Q: s[(u cos 3u) du

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Q: f (t) = 2e¬ + 4 sin t cos t %3D

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Q: Determine the Laplace transform of the function. a) L[5e" cos(31)]- b) L[8'U₂(1)]-

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Q: Find the Laplace transform of: (a) cosh at (b) sinh at

A: Given (a)cosh at  and (b)sinh at We have to find the Laplace transform of them…

Q: 1. Find the Laplace Transforms of: う。in3(

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Q: Determine the Laplace transforms of the following functions. (a) f(t) = e-tt sin 2t. (b) ƒ(t) = t…

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Q: 7くt<12 t.

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Q: O f4) ft) = 3

A: We have to find the Laplace transformation of f(t).

Q: Find the Laplace transform of the functions of t:   f(t) = e4t cos (3t)

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Q: Obtain the laplace transform of

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Q: Find the Laplace transform of f(t) = sin² 5t a. 50/($³+125s) 25/(s³+ 100s) b. C. 25/(s³ + 125s) d.…

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Q: 2 w2 In(w) dw

A: To evaluate the integral ∫12w2lnwdw

Q: Find the laplace transform of the following: [a.] et cosh (6t)u(t) [b.] t4e-2tu(t)

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Q: -t cos(3t

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

Q: 0, ts2 2 6

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

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Q: Find the Laplace Transformations of the following functions i. L{(sin t + cost)² - cos² 3t}…

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Q: Find Fourier Transform for the function:f (t) = sint - T <t< %3D

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Q: 3t

A: We have to find the Laplace transform.

Q: Pind the Laplace transform of the function f(t) = -at cos (wt + o.) с жисист (sta) cos & - wsin &…

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Q: Find the laplace transform

A: To find the Laplace transform of:

Q: L[cos(wot) u(t – 1)]

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Q: Use Laplace transformation to solve the DE y" – x = 1, y(0) = y' = 0.

A: To solve the initial value problem of second order differential equation using Laplace…