H(s) = %3D s2 (s² + 25) nd the value of constant k if L-'{H(s)} = [ k(t – u) sin (5u) du. ence, find the inverse.

Q: Determine the Laplace transform of the following 5t3 + 4t2-3

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Q: graph of the sketch the function 4u (t-17) cost and find its laplace transform. D.

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Q: 6. sin 2tcos 2t

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Q: 2s -8 10. s' +36

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find the inverse Laplace transform of the following: H(s)=2e-s/s2(s+3)

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

Q: -2s+6 -1 s2 +4

A: If Lf(t)=F(s), f(t) is called the inverse Laplace transform of the function F(s).…

Q: The Laplace transform of f(t) = is 1

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Q: b) Find the inverse Laplace transform of the following function: 3s +6 F(s) = s² +9s + 5.

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Q: f(t) = e-3t sin(4t).

A: Introduction: Laplace transform is named in honour of the great French mathematician, Pierre Simon…

Q: Determine the inverse laplace transform of the following: (s+2)² 4 s²-1 s+6 82+9

A: As per the given instruction, we shall use MATLAB to find the inverse Laplace transforms for the…

Q: Find the d. c. of T from definition.

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Q: 2yy" = 1 + (y')² 2

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Q: Find the Laplace transform of f(t) = te-5t.

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

A: As per our guideline we are supposed to answer only one asked question.kindly repost other…

Q: F(s) = 8 $³-3s²-4s 00

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Q: 1- Find the inverse of Laplace transform of log s²+1 (s-1)²,

A: To find inverse Laplace transform:

Q: Derive the Laplace transform of the following functions: s-a L{et cosh (bt)} = (s-a)²-b2

A: The given laplace transform  is ℒ eatcosh (bt)=s-a(s-a)2-b2

Q: L{t + e=2t}

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Q: e-9s F(s) = g2 – 3s – 10 ||

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Q: 8s + 12 s² + 4s + 29

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Q: -35 s²−2s+4²] S³ + 4s 3

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Q: * + 3x + 6x = 0, x(0) = 0, x(0) = 3, x(t) =?

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Q: Find the Inverse Laplace Transform of* s2+4s+4 te (A) -21 te D 1²e-' 2. 2. B.

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Q: Find the 3x3 matrix that produces the described composite 2D transformation below, using homogeneous…

A: To Determine :- The 3 × 3 matrix that produces the described composite 2D transformation below,…

Q: Find Laplace transform of the given function

A: Concept Used: Ltkft=-1kdkLftdsk also, Lsinat=as2+a2Le-btsinat=as+b2+a2

Q: 2. Determine the Laplace transform of the given function using the Table coshbt te3t sin2 t

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Q: Find the la place transform of the following. Simplify your answer f(+) = sin3t Sinht

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Q: L{t – e-3t} = + s-3 L{t – e-3t} = =-- I. II. s-3 L{t – e-3t} = +3 L{t – e-3t} = III. IV. %3D s+3

A: We know the Laplace transforms Ltn=n!sn+1, s>0 L ea t =1s-a, s>a Now, Lt-e-3t=Lt-Le-3t L t…

Q: Find the inverse LaPlace transform F(s): s+2 2 s - 4s + 13

A: Solve the following

Q: 1 (e-v5t – evZt V2t )

A: To find the Laplace transform of the below function.1te−5t−e−2t

Q: 1. (t+ 1) 2. 2sin3t +5cos 3t 3. (e" -e") 4. (Vf + 1)(2- VE)/JE 5. 8 sin' 3t

A: Since you have asked a question with multiple subparts, we will solve the first three subparts for…