12Sinh (9t +4) f(t)=

Q: Find the Laplace transform of: f (t) = e-2t sin t

A: Given; f(t)=e-2tsint

Q: Find the Laplace transform for :  f(t)= e^3t sin 4t

A: Some Laplace transform formulae: L{eatsinbt}=bs-a2+b2 Given function is: f(t)=e3tsin4t To find the…

Q: Find the Laplace Transform 3.f(t)=e'cos2t

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Q: 3t

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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: F(s) = s2 +2s+5

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Q: 2 sin 4t t

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Q: sinh 2t (f) t

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

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

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

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Q: Find the laplace transform of f(t) = 2t¹-3e³t+10 cos 2t

A: Given that,  f(t)=2t4-3e3t+10 cos2t

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: 3t x(t) = to

A: We have to apply the Laplace transform of the given function.

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

A: We have to find the Laplace transform of f(t)=2t2e-t-sin2t .

Q: L(e³t cos 2t)

A:

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: 2 – 2e ª +tU(t – 2) + dt те

A: using laplace formula for finding above laplace values....

Q: Find the inverse Laplace transform of 2e-8s F(s) = s² + 9

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Q: Find the Laplace Transform 4.f(t) = (1 + te-t)

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

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Q: L{te¬3t cos 2t}

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Q: Find the Laplace transform of (t2 + 1)2.

A: we use the formula £(t^n)=n!/Sn+1. See 2nd step.

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

A: This is laplace transform shift problem

Q: Determine the Laplace transform of L(t sin 3t)

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Q: Find the laplace transform for the equation f(x) = 2 e^-2t sin4t

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Q: . f (t) = 2 cosh 3t

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Q: y Ct) = 5€ - 2t Cos 6t

A: Use the following 1.L{cos at}=ss2+a22.If L{f(t)}=F(s)Then L{eatf(t)}=F(s-a)

Q: 2. t5/2 sinh 4t

A: The solution is given as

Q: orm y(t) = 4e-2cos

A:

Q: Find the Laplace transform of f(t)=sin(4t + ?/3)

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Q: Find the laplace transform of f(t)=(sin t-cos t)^2

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

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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: The formula for the Laplace transform of t^ , n! is true for sn+1

A: Option (d) is correct

Q: f(t) = 2Ct -4)

A:

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(t) = cos² 2t

A:

Q: 3. f (t) e2t Cos 5t 3t3

A: The Laplace transformation formulas are Leatcosbt=s-as-a2+b2,  Ltn=n!sn+1. Substitute a=2, b=5 in…

Q: Find the Laplace transform, h(t) = H (t – 2m) cos 3 (t – 2m) s2+9

A: It is known that:  LHt-cft=e-csLft+cLcosat=ss2+a2

Q: Find the Laplace transform of L{t^2cost}

A: Laplace transform of the form L(tkf(t))=(-1)kdkdskLf(t) Here, k=2, f(t)=cost From the identity,…

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

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Q: Find the laplace transform of f (t) = 3t – 2eª +2 cos 2t

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Q: 2 t+ 4t -5 e bE

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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 L{ 5 sin /7t – 3e +t - e* cos 2t 3

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

Q: Find the Laplace transform of f (t) = 6e-t +e + 5t -9

A:

Q: 3. f (t) e2t cos 5t – 3t3 -

A: Note:- 1.   Ltn  =n!sn+1 2.  Lec t cosdt  = s-cs-c2 +d2   Given function is ft = e2t cos5t -3t3