Find the Laplace transforms of the following functions: 1) f(t) = 1 – e' Ans. In(5-L) %3D S 2) f(t) sin 2t Ans. Arctan (2) %3D

Q: 6. x(t) = cos at + sin at

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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 f (t) = te2t sin 2t %3D

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Q: Find the Laplace transform of f(t) t sin(2t) dr F(s) =

A: We use the table of Laplace transform to solve the given question.

Q: Calculate the laplace transform of the following functions; f(t) = sin 3t cos 3t

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Q: Solve the laplace transforms for: a- L[alt ex. cos2x. dx]=F(s)/s b- L[t². Sin2t] =(-1)².…

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Q: I. Derive the general formula for the Laplace transform of the following functions: a. e at b. sinh…

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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: 1. Find the Laplace transforms of the following functions by evaluating the integral F(s) = e-st…

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Q: Find Laplace transform of b) f(t) = te'cos(t) %3D

A: Given:  (1) f(t)=tetcost

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

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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: Given that L{cos bt}(s) = s2 + b2 use the translation property to compute £{e at cos bt}. Click here…

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Q: Find the Laplace transform of f(t) = cos(2t) * u

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Q: Find the Laplace transform of h (t) = 1.5 sin(3t – ) 2

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Q: Obtain the laplace transform of

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Q: Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]?

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Q: Determine the Laplace transform of: (a) cos(st + 0) (b) sin(ot + 0)

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

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Q: Find the Laplace transform of: 1. f(t) = e(-30) sin(2t) cos(3t) cosh(t)

A: Given function can be written as ft=e-3tsin2tcos3tet+e-t2=e-3tet+e-t2sin2tcos3t

Q: So (sinh (-2t)e¯') u(t)

A: We shall find the Laplace transform of∫0tsinh-2te-tutdt that is L∫0tsinh-2te-tutdt First Shifting…

Q: Laplace transform of f(t)=te^(at)

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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: 3.) f(t) = e4*sin (3x

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

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Q: f (t) = 10 sinh(6t) u(t)

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Q: The Laplace transform of sin(@t+a), where a is a constant is need asap

A: In the given question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

Q: L(sin Vf) = V. 2s

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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: Find the Laplace transform for (a) f(t) = sin² ;t (b) f(t) = e-dt sin 3t %3D (c) f(t) = t2 sinh 5t

A: We find these 3 Laplace transform

Q: Find the Laplace transform of f(t) = t2 cos at. %3D

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Q: Find the Laplace transform for 2. f(1) = cos 3t +t8(t – 2) . %3D

A: Given: f(t)=cos3t+tδ(t−2)

Q: Find L T Cos(37)dt 0,

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Q: Determine the Laplace Transform of the given integral equation. A. f (t) = S sin(t - 7) cos(7)dr

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Q: Find the Laplace transform of h (t) = 1.5 sin (3t – ;)

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Q: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

A: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

Q: Find the Laplace transform of e2t sin 5t.

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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: F(s) = L {e& cos(4t)} II

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Q: (a) Find the Laplace transform of f(t) = te2" sin(2t). %3D

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

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Q: Find the Laplace Transform f(t) = sin(2t) cos(2t).

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Q: L(sin 2t cos 2t)

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Q: Calculate the Laplace transform of f(t) = 2 cos(3t)

A: The given function is ft=2 cos3t.

Q: 5. f(t) = = cos 2t sinh 2t

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Q: Find the Laplace transform of 1. f(t) = sin(4t +) %3D

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

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

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Q: L[cos(wot) u(t – 1)]

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Q: Find the laplace transform of cos at using the formula £{f(t)} = et f (t) dt. Hencefind the laplace…

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