Find the Laplace transform of 0st<1 f(t) = {2 - t, 1st<2 2

Q: Develop Laplace transform of the piecewise continuous function t, 0 ≤ t < 1 f(t): 2-t, 1st < 2 t≥2…

A: The solution is given as

Q: What is the initial value of f(t) if its Laplace transform is

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Q: determine the laplace transform of t^2 sin 4t

A: We know that Lsin(at) = as2+a2 then Lsin(4t) = 4s2+42= 4s2+16 Also  Ltnf(t) = (-1)ndndsnLf(t)

Q: Find the Laplace transform of: 1. f(t) = e(-3t) sin(2t) cos(3t) cosh(t)

A: Given that 1) f(t) = e-3tsin (2t) cos (3t) cosh (t) 2) f(t) = 1+sin t + (8t)15 + t2cos 3t We have to…

Q: 5s - 2 F(s) = s²(s – 1)(s+ 2)

A: F(s)=5s-2s2(s-1)(s+2)

Q: Find the Laplace Transform of f(t) = cos t u(t-1)

A: The given function is f (t) = cos (t) u (t – 1):   Find the Laplace transform of the given function.…

Q: Find the Laplace Transform 3.[t3 - 8t2 + 1

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

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Q: 1. The Laplace Transform of f(t) = te' sin(2t) is

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Q: What is the laplace transform of f(t) = cos t u(t-1)?

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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: Find the Laplace Transform of f (t) = {t for 0 3} -

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Q: 4 The Laplace transform of f (t) = {*. 0st<2 is: t2 2

A: We have to use Laplace transform integration.

Q: Find the Laplace transform of f (t) = cos²(3t).

A:

Q: What is the initial value of f(t) if its Laplace transform is 5-2? 2s(s+2)

A: To Find: The initial value of f(t) if its Laplace transform is s-22ss+2

Q: The Laplace transform of f(t) - t U(t - 3) is:

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Q: f(x) = e-2x sin 5x

A: Given that: find the laplace transform showing complete solution f(x)=e^(-2x) sin 5x

Q: f(t) = 2t + 5et – sin 5t -

A: Given:  ft=2t3+5e4t-sin 5t To Find: The Laplace transform

Q: 8 F(s)= s-4s²

A: Given F(s) = 8s4-4s2 Hence F(s) =8s2(s2-4)F(s) = 8s2(s-2)(s+2)                                 (1)…

Q: . Find the laplace transform of the 1VP: y" - 4y = et + t, y = y'(0) = y" (0) = 0

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Give the Laplace transform of f(x) = {₂-2, 3 ≤ x I x², 0<x<3

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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 Transform 4.f(t) = (1 + te-t)

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Q: f(t) = e-2t-e-3t %3D t

A: The given function is                                           f(t)=e-2t-e-3tt To find the Laplace…

Q: Find the Laplace transform of u2(t)cos(t − 2)

A: This is laplace transform shift problem

Q: Find the laplace transform of t sin (t) A. 2s/(s2+1)2 B. 1/s2(s2+1) C. 1/s2 + 1/s2+1 D. -…

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Q: Derive the laplace transform for f(t)= 3 e-St

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

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Q: Find the Laplace transform of 1. _ƒ(t) = ½ [1 − U2„(t)](2 sin t – sin 2t) - - 2

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: find the Laplace Transform.  1. (et - e-t)2 2. sin2t sin5t 3. e2tcos2t

A: The objective is to compute the Laplace transform of 1. et-e-t22. sin 2t sin 5t3. e2tcos2t

Q: Find the laplace transform of f(t)=t^n by definition.

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Q: Determine the Laplace transform of the given generalized function. (3*e^(3t))(delta(t-5))

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Q: find the laplace transform of the 1VP: y"'-4y=" e^3+t, y=0=y'(0)=y"(0)=0

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Q: -2 20(x+2y?

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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: Obtain inverse Laplace transform 1. (s+2)

A: Given expression is e-4s+23.

Q: find the Laplace transform of g(t)= (1-e^t)/t

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

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Q: Find the Laplace Transform of the following functions 2(1-e**) -ITS 11) 2 Ans. F(s)= S →t IT

A: We will write the function in terms of the Heaveside function and then find its Laplace transform.

Q: 25²+1 f(s) = s3-3s+2

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Q: Solve the Laplace Transform 8. f(x) = (2/x)(cos1/2x)

A: note : We will consider the given function as : f(x) = (2/x) cos(0.5x)   Now we have to find the…

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. The laplace transform of f(t) = et

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Q: Find the Laplace transform of t + 2t -4

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

A: Here we use the definition of lapses transformation.

Q: Evaluate using Laplace Transform: tsin3 3t dt e-3t f(t) = 0,

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