Find the transform of the given function by use of a table. f(t) = 3e-4t sin 5t A B C D E F (s) = There is no correct answer from the given choices. F (s) = F (s) 5 (s+4)2 + 25 F (s) = 15 (s+4)2+25 3(s+4) (s+4)2 + 25 15 (s-4)2 + 25

Q: 7. e-at sin(bt) 8. e-at cos(bt) where a and b are constants. where a and b are constants. 9. 1- e-at…

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Q: 5. f(t) = sin (6t).

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Q: y(t) = t² + | y(u)sin(t – u) du

A: The solution is given as

Q: Using the table of Laplace transforms below and any relevant properties and theorems derive the…

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Q: Find the Laplace Transforms of the function

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Q: 2s-3 L-1 s2-4s+8

A: To solve this question first we simplyfy the given function and then use the inverse Laplace…

Q: Aşsinst – cos8t} =sin4t

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

Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

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Q: Find the transform of the given function by use of a table. f(t) = 4 + -4t cos 39 t

A: Concept: Laplace transformation: Differential equations can be solved using the Laplace…

Q: Problem 1: (Laplace Transforms of Unit Step Functions) Obtain the Laplace transforms of the ff.…

A: Note "As per our company guidelines we are supposed to answer ?️only first question. Kindly repost…

Q: 1. (a) 2t – 3 (b) 5t²+41 – 3

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Q: t2 sin 3t – 3t cos 3t

A: Given :    t2sin3t-3tcos3t

Q: evaluate t-0.01, Given: 21' + 201 = 100, I(0) = 0 Round-off to 3 decimal places. Answer: 0.476

A: Laplace Transform or Inverse Laplace , solution of the intial value problem

Q: 1. 2 (t+2 cos 2t)²-2 cos²2t 2 sint (e²t + 4e¯¹ + sin t)

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Q: 32-P(t):l0+8t. 33. f(t): expl-5t] +4t" 34-f(t): : et [coslut) +6]

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: - 3t +2 (b) 24 2. (a) 15

A: Topic = Laplace transform

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

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Q: (vii) f(t) = 4sin3t (viii) f(t) = 3cos2t

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Q: 3. f(t) = [sin(2t)]^2 %3D

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Q: 3) f(t) = 7t2 - te-4t Ans. 14 (s + 4)²

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Q: 2. f(t) = -7(e^3t)[sinh(2t)] A. -14 / (s^2 – 6s + 5) B. (-7s + 21) / (s^2 – 6s + 5) C. -14 / (s^2 -…

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Q: Solve the following IVP using Laplace transform: y"-y=2, y(0)=0,y'(0)=0

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Q: (ix) f(t) = e-2t sin3t (xi) f(t) = 2e'(cos3t – 3sin3t)

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Q: -2e -2t 4 3 -3x -16x²-5cos (x√√2) -5cos(x√2) 2 3

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Q: (d) f(t) est sin(4t)

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Q: Solve the initial value problem below using the method of Laplace transforms. y" +6y' + 8y = -…

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Q: f(t) = t³ cos 2t

A: solution

Q: 9. 3 cos(wt –@), where w and a are constants.

A: We use first Cos(a-b)=cos(a) cos(b)+sin(a)sin(b) and then we use Laplace transform of…

Q: Calculate the laplace trans forms of the Pollowing Punction by using laplace txansform pains/…

A: (1) Given ft=10+7t. Consider                Lft=L10+7t=L10+L7t=10L1+7Lt We know that Laplace…

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

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Q: 2s Prove that L(t sin t) (s²+1)²

A: We can use the concept of Laplace transform in order to solve the given problem.

Q: L { 2 cosh ²t & co 2 sinh 22t

A: (cosh^2 t)/(2sinh^2 (2t)) = (cosh^2 t)/(2(cosh^2 (2t) - 1))

Q: 51²e-31 – e121 cos 8t 10 (s+3) 3-12 (১-12)-64 10 s-12 ((-122+64 (s+32 10 (s+32 s-12 (-127-64 10 s-12…

A: lets see the formulas we are going to use here L{ tneat } =n!(s-a)n+1               ⋯⋯⋯(i)L{ e-at }…

Q: Given Answer 1. Se- dx 2. Sxe-* dx 3. Sx? e-* dx

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…