Find the Laplace transform of: 1. f(t) = e(3t-7) cos³(6t) 2. f(t) = v1+ sin t + (7t)14 + t² sin 2t %3D

Q: 3. f(t) = 2e3t sin 2t – 3e3t cos 2t -

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Q: Find the Laplace Transform of f () =2 sin a +3 cos 2z.

A: This is question of laplace transform . Solution is given below

Q: 8. t* – t² – t + sin v2t

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find Fourier transform of i 1x ka f(x) = 1₁ 0 Ixl ya Then find: 05- Sin Pa Cospx dp , P of M.H sin…

A: Fourier transform of the function and deduce the given definite Integral

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: L[3t³e=3tcos2t]

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

Q: f(t) = [1 – u2m (t)](2 sin t – sin 2t)

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Q: 10. Find the Laplace transform of f Ct)= t sin 4t cos t• 58 C. 852 (s?+16)3 45 b. 4s2 do 3 (s?+I6)°

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Q: d. Find the Laplace transform of f(t) = sin22t + cos22t + 1 ۵. 4/s b. 3/s 2/s 1/s ن d. 3t-5t²-2(t-

A: Given that the function ft=sin22t+cos22t+1

Q: 2 - ƒ (t) = sin 0.5t + ²⁄t – 3 8 cos 32t

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Q: f(t) = t cos 4t sin 2t

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Q: f(t) = [1– u2m(t)](2 sin t – sin 2t) U2n

A: Some of the properties of Laplace transformation Lsinat=as2+a2Luc(t)=e-cssLuc(t)g(t)=e-csL[g(t+c)]

Q: Solve using method of undetermined coefficients: y" + y' - 2y = x². %3D

A: Solution :-

Q: Find the Laplace Transform of (i) e3(2cos 5t - 3sin 5t) (ii) e2tcos² t 4t (iii) e**sin 2t cos t

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Q: f(t) = [1– uzn(t)](2 sin t – sin 2t

A: Solution

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

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

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Q: Compute the Laplace transform. Your answer should be a function of the variable s L{3+ u(t)e sin(7…

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Q: f(t) = e-5"cosh(6t) – (9t)"/2 %3D

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Q: (e²t) LE9+² +6t+73 L{ 5 cos (4+) } -4t L {ett sin (8t) 3

A: Given that the Laplace functions Le2tL9t2+6t+7L5cos4tLe-4tsin8t .

Q: 3. sin2(3t – 2) 3 10ez cosv2 t

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Q: Find the Laplace Transform of the following functions: 1. f(t) = (2e-4t + sin t)²

A: We have to find the Laplace Transform of the following function. 1)  f(t) = (2e-4t+sint)2

Q: Find the Laplace Transform of the following functions: 1. f(t) = (2e−4t + sin t)² 2. f(t) = 4t cosh…

A: To find: Laplace transform of the following function:-               1. ft=2e-4t+sint2…

Q: Find the Fourier transform of the following function. f(t) = sin2t [H(t+1) - H(t-1)]

A: Given : Function : ft = sin 2t Ht + 1 - Ht - 1   To find : Fourier transform of the given function.

Q: cos 4t-cos 2t 3. f(t) = t

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Q: Calculate the Laplace transform L{f} of the function f(t) = et+2 8t° + 8 sin(2t) + 9 using the basic…

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Q: • Find the Laplace Transform using the Laplace Transform Pairs and the Laplace of derivatives: 3.…

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Q: Find the Laplace transform of f(t) = e-2t + 2 sin2t

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