7. (a) cosh²t (b) 2 sinh² 20

Q: 3. Evaluate Laplace transform to + 5 sin7t . 3 2

A: We have to find the Laplace transform .

Q: 1. Find the laplace transform of sin(t)sin(2t) sin(3t), using est f(t)dt. F 1-4 3 1 r are. ².2.

A: As per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: Solve the following DE using Laplace Transform: 3. y" — у' — 2у 3D 5 sin x y(0) = 1, y'(0) = -1 -

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Q: Find the Laplace Transform of f () =2 sin a +3 cos 2z.

A: This is question of laplace transform . Solution is given below

Q: find the Laplace transforms A preliminary in- of the functions in Problem. tegration by parts may be…

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Q: Find the Laplace transform of L(t5)

A: The Laplace Transform of f(t) is given by, L{f(t)}=   ∫∞ 0   e^-stf(t)dt Here f(t)=t^5 So, L(t^5)= ∫…

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

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Q: Find the Laplace transforms of the following. r -6t sinh(2t) 1. -6t cosh(2t).

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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: 2. Find the Laplace Transforms of (te' sin(at))" when a = 1

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Q: 3 find The Laplace transform f(t) = sint

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Q: f(t) = t sin 2t sin 5t cos 2t

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: 5. Given that L{ sin VE} = 1/2s T /se-/4. determine the Laplace transform of (1/Vecos vt. %3D

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Q: 1) Find the Laplace transform of the following function: f(t) = e-12t (3 cosh (3t) — 3 sin(12t)) —…

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Q: 1 Find the Inverse Laplace Transform of s2+2s+ 10 -'cos3t B -Isin9t 3 cost 9 -'sin3t (D 3

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Q: Prove that the Laplace Transform of sin(at)+at cos (at) is 2as? (s` +a°)* Please show your Solution…

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Q: O fe) = e* cos 2t -t * + Gn 状 - as )

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Q: Find the laplace transform of 1. f(t)= cos(5t)cos(2t) - sin(5t)sin(2t) 2. f(t)=…

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Q: find the Laplace transforms A preliminary in- of the functions in Problem. tegration by parts may be…

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Q: 3) Find the Laplace transform of h(t) = etv sin v du.

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Q: 5 sinh (3t) +4 cosh (3t)

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Q: Solve for the Laplace transform of et sint cost cos 2t cos 4t 7+4s+20 82-4+20 -4+68 4s+8

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Q: 3. Find the laplace transforms of f(t) = ¹e²t sin(2t) 2t 4

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Q: O xt) tLosh at - sinh 34 + ws (ot - )

A: Properties of the Laplace transform  Laf(t)+bg(t)=aL[f(t)]+bL[g(t)] Ltf(t)=-F(s), where…

Q: solve the following equation using laplace transforms: note:= 1 not 11 dx - 3 dx + 2x = 0, x(0) = 0,…

A: Given d2xdt2 -3dxdt + 2x = 0                                    (1)x(0) = 0…

Q: 2. t5/2 sinh 4t

A: The solution is given as

Q: 35) dy - 4=1, Jco)=o

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: /Find the Laplace Transform 2- f(t) = 5 sin 2t – 3 cos 2t

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Q: 4. (a) 4 sin 3t (b) 3 cos 2t

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Q: 3. Apply the change of scale property to find the Laplace Transforms of: sin(3t) 6 sint when, L- =…

A: The Laplace transform can be calculated using the transform table. The change of scale property can…

Q: 5. If the Laplace transform of f(t) find F(4s)

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Q: 15) Use Laplace transforms to solve y" +16y=8(t-2n), y(0) = 0, y'(0) = 0.

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Q: sin(2t) cos(2t)

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Q: Find the Laplace transform of f(t) = (1+ sin 2t cos 2t). %3|

A: Given: f(t)=(1+sin 2t cos 2t)

Q: What is the Laplace transform of 8'? 1 se sin s Cos s

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Q: 2. Find L{e3t cos 2t} using property of Laplace transform

A: We’ll answer the first question (Question number 2) since the exact one wasn’t specified. Please…

Q: cos(2t + 30°)

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

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Q: Solve for the Laplace transform of e2t sin t cost cos 2t cos 4t

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Q: Q3: Find the solution of the Laplace transforms of the following functions: L-1 ¹ [-35 -3s2-12s-87…

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Q: a) Sojlve the initial vajlue problem using Laplace transform UTM y + 2y = 26 sin 3t, y(0) = 3. UTM…

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Q: 1. Solve the Laplace transform of the following: iii) t'sinh(3t)

A: Given that: t4sinh(3t)

Q: 4. Find the Laplace transforms of a) Sinh 3t cos²t | cos (t-2n/3), b) t > 2t/3 14, c) t'e'sin6t. t <…

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Q: 1: A :Find Laplace Transform of f(t) = sin²t By Rule.

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Q: 8. Find the Laplace transform of the given function: h (t) = 3 sin h (2t) + 3 sin (2t)

A: Some important Laplace transform formulas: L(sinhat)=as2-a2L(sin(at))=as2+a2 Given function is:…

Q: find the Laplace transforms A preliminary in- of the functions in Problem. tegration by parts may be…

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Q: 9. Solve the IVP using Laplace transform: x' – x = 2cos5t, with x (0) = = 0.

A: Given equn isx'-x=2 cos 5t with x0=0taking both the side laplace transformation we get…

Q: 2. Laplace STO 2 3. What is the Laplace transform of 2cos t?

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Q: 5. * + 9x = cos 2t

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Q: Find the Laplace Transform L{ 5 sin /7t – 3e +t - e* cos 2t 3

A: To find the laplace transform  L5sin 7t-3e-2t+13t3-e3tcos 2t