Determine the Laplace transform of f (t) = 6 cosh 6t – e + : 18 none of the choices

Q: Find the Laplace transform L(2te3t cos 4t + u(t – 1/2) sin 2t)

A: Here we apply formulas of lapses transformation.

Q: Find the Laplace transform of the following: 1. y" + 2y' + 5y = t cos(5t) - 6, y(0) = 1, y'(0) = -2

A: To find the Laplace transform of the problem.

Q: Determine the Laplace transform of f(t) = 5sin 2t - 6t * cos 2t

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Q: f(t) = 3e " cosh (In 21)

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Q: Find the Laplace transform for 1) (a) f(t) = t cosh 2t. (b) f(t) = e-4 cos 2t.

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Q: The Laplace transform of f (t) = cos(2t) + 2e-3t + 3t? is: %3D

A: Note the following results : Lcos at=ss2+a2  Leat=1s-a Ltn=n!sn+1 ; n=1,2,3,…… Linearity property…

Q: e Transform of the functions 1. e2t (

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Q: The Laplace transform off (t) = e2t sin(7t) + te3t is:

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Q: The Laplace transform of L2 sin 5t sin đt) is 2+ (9)² 2+ (1) 교+(9)2 7+ (9)² 이 +(1) 구+(9)P

A: Thanks for the question :)And your upvote will be really appreciable ;) Second option is correct

Q: 2. Calculate the Laplace transform L{12e cos²(3t)}.

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Q: 13. ) Find the Laplace transform of a) f) = 3e-t + 2 cos(t) – 5t3/2

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Q: Solve the Laplace transform: t4sinh(3t)

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Q: Find the Laplace transform of 1. f(t) = [1 − u₂n(t)](2 sin t - sin 2t) - 2

A: Properties of the Laplace transform Laf(t)+bg(t)=aF(s)+bG(s)Lsinat=as2+a2Luc(t)sinat=e-css2+a2

Q: 2. Find the Laplace transform of the ff. a. t cos 3t b. e

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Q: f(t) dt3 cos 2t

A: Sol:- First find the derivative d3dt3cos2t=d2dt2-sin2t· 2=ddt-4cos2t=8sin2t

Q: The Laplace transform of f (t) = e2t sin(7t) + te¯3t is %3D

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Q: 5. t²e-2t sin 4t

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Q: f(t) = [1– u2m(t)](2 sin t – sin 2t) U2n

A: Some of the properties of Laplace transformation Lsinat=as2+a2Luc(t)=e-cssLuc(t)g(t)=e-csL[g(t+c)]

Q: 3. 6 сos(4t — 1)

A: The solution is given as

Q: Find the Laplace Transform of (i) e3(2cos 5t - 3sin 5t) (ii) e2tcos² t 4t (iii) e**sin 2t cos t

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Q: e-t(cos 4t – 2 sin 4t)

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Q: Solve the Laplace Transform of the equation f(t)= te²ᵗsint

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Q: Solve the Laplace transform. L[ t3sin 2t]

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Q: Find the Laplace transform of the following: 1) t2 sinh 2t

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Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos³(6t) %3|

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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

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Q: 1) t3 -3t² +5t -8 2.

A: Solution

Q: Solve for the Laplace Transform of f(t) = t²sin 2t

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Q: 2. t5/2 sinh 4t

A: The solution is given as

Q: Find the Laplace Transform of (t2 +4t + 2)et

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Q: What is the Laplace transform of x (t) = e^- t cosπt ? Select one:

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Q: FInd the Laplace transform of cos t cos 2t cos 3t

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Q: Find the Laplace transform of a) ƒ(t) = 3e-2t + 2 cos(t) – 5t3/2 b) f(t) = t*e3t

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Q: Find the Laplace Transform of: e-2t sin2t + e3tt2 3t +2

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Q: Determine the Laplace transform of e-2"cos/3t – t²e-2 3+2

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Q: Find the Laplace transform of f (t)= 2u(t +1)cos t +e 5(t-2) %3D

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Q: Use the Laplace transform to solve the following IVP y - y = 2 cos 5t, y(0) = 0 %3D

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Q: Solve the Laplace transform of e-2t cos/3t – t²e-2t

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Q: e3t (42 + 4)

A: To find : The Laplace  Transform of   e3t ( t2 + 4 )

Q: Find the Laplace Transform 2.f(t) = sin h 3t + cosh 3t - 2t3

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Q: (b) Find the Laplace transform of the integral s[ (u cos 3u) du 8 F6

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Q: O Find the Laplace transform of e³ + 2tª – 4 cos 8t + ez + Vt3

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Q: Find the laplace transform of f (t) = 2t1 – 3et + 10 cos 2t %3D

A: We will use property and tables of laplace transformation

Q: f (t) = e2t V1 + cos 4x %3D

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Q: Calculate the Laplace transform of 4. f(t) = tcos bt

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Q: Determine the Laplace transform: e2t sin (wt + 6.

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Q: Find the Laplace transform for (a) f(t) = t cosh 2t. (b) f(t) = e-2t cos 2t. %3D

A: We need to find the Laplace transform for the given function. (a) f(t)=tcosh(2t) (b)…

Q: Find the Laplace transform of + 2 cos(t) – 5t3/2 a) f(t) = 3e-2t

A: L(f(t))=L(3e-2t+2cost-5t32)L(f(t)) =L(3e-2t) + L(2cost) +L(-5t32) L(f(t))=3L(e-2t )+2L(cost)-5L(t32)…

Q: (b) Using Laplace transform, evaluate te -2t Cos 2t dt 0.

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Q: 3. f (t) e2t cos 5t – 3t3 -

A: Note:- 1.   Ltn  =n!sn+1 2.  Lec t cosdt  = s-cs-c2 +d2   Given function is ft = e2t cos5t -3t3