6-10. Find the Laplace Transform of the following elementary functions: a. f(t) = 7e2t b. f(t) = (e" + 3)²

Q: e-2t cos 3t cOS

A: The given question is related to Laplace Transform. The solution is explained below.

Q: 1) Find the inverse Laplace transform of the following: a) L-1 s+1 ans:A = , B=- e* -e s2-7s+6. 5' 5…

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Q: 3.15 - Find the inverser Laplace transform of the following functions: 5e-2s d. G(s) = (s+1)(s²+s+1)

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Q: Find the LaPlace transform for the periodic function. 2 3 4. 3.

A: The graph of the given function is This function can be given by  f(t)=3if t∈2n,2n+10   t∈2n+1,2n+2…

Q: 3s +5 Let X(s) = be the Laplace Transform of a signal x(t). Then, x(0+) is %3D s + 10s + 21

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Q: 6. Find the inverse Laplace transform of the following functions. a) F(s) = ln (5+3). UTMUT TM UTM…

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Q: Consider the IVP y''-y'=-30e3tcos(t), with y(0)=1, y'(0)=-12. Take the Laplace transform of both…

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Q: 2. Calculate the Laplace transform L{12e cos²(3t)}.

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Q: 2s – 1 (a) Determine the inverse Laplace transform of F(s) s2 – 4s + 6 |

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Q: 3.15 - Find the inverser Laplace transform of the following functions: 5e-2s d. G(s) = (s+1)(s²+s+1)…

A: Solution is given below:

Q: 13. ) Find the Laplace transform of a) f) = 3e-t + 2 cos(t) – 5t3/2

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Q: 4 None of the Choices f(t) 1 (e²+ e ²¹)-(e₁-e²₁) Option 3

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Q: 14. Find the inverse Laplace transform of 2s+1 a) F(s) : s2+25

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Q: 1) Find the Laplace transform of the following function: f(t) = e-12t (3 cosh (3t) — 3 sin(12t)) —…

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Q: 1 Find the Inverse Laplace transform of F(s) : (s+1)(s²–1)

A: The given expression is Fs=1s+1s2-1 Write the partial fractions  Fs=1s+1s2-1=1s+1s+1s-1…

Q: 3 Find the inverse Laplace transform for (s-2)2+9 (a) e-2t sin3t (b) e2t sin3t (c) 3e-3t sin2t (d)…

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Q: 2. Find the Laplace transform of the ff. a. t cos 3t b. e

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Q: 1 Find the Inverse Laplace Transform of s2+2s+ 10 -'cos3t B -Isin9t 3 cost 9 -'sin3t (D 3

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Q: The Laplace transform L{e^-t^2} exists (because it is exponential order), but without finding it…

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Q: 1 5. If the Laplace transform of f(t) = , find F(4s) %3D

A: We have given that , Laplace transform of , f(t)  is e1ss. We need to find  ,  F(4s). We know that ,…

Q: 3s + 4 Find the inverse Laplace transform, L-1 ((s + 1)2.

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Q: 1- 2e+ e-25 F(s) 2

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Q: 6. Suppose you are working out the Laplace transform of f(t) = e'+4t using the definition of the…

A: Answer

Q: Solve for the Laplace transform of e2t sint cost cos 2t cos 4t 1 s-4s+20 s-4s+68 -4s+20

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Q: 1) Find the inverse Laplace transform of the following: s+1 а) L-1 [s²-7s+6) ans: A = B=- 7 | 5' 5…

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

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Q: 10 (b) Use the Laplace transform table and the linearity of the Laplace transform to determine the…

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Q: 1. Show that the function 2t et cos (et“) is not of exponential order, however its Laplace transform

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Q: Find the Inverse Laplace Transform. Y (s) (10s + 8) తాతి s3

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Q: 2) Find the inverse Laplace transform of (s + 1) b) s2 + 2s + 10 26 – s? - a) s(s? + 4s + 13)

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Q: FIND THE LAPLACE TRANSFORM AND INVERSE LAPLACE TRANSFORM dx - + 7 = 5 cos 2t dy -

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Q: 1. Find the inverse Laplace transform of the function 2/ s (s + 1) with the help of convolution.

A: 2-2e^(-t)

Q: FInd the Laplace transform of cos t cos 2t cos 3t

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Q: 3.1 If the Laplace transform of coswt is then find the Laplace Transform of the s2+w? following…

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Q: Solve the following initial value problem (IVP) of y" – 3y - 10y = 2 where y(0) = 2 and y (0) = -1.…

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Q: 3.48. Find the Laplace transform of x(1)=(e" cos 2r – Se *ju(1) +*u(-1)

A: The given problem is to find the Laplace transform of the given time function. Given…

Q: 7. Find the inverse Laplace transform L'{ 's2+6s+10'

A: Given below the detailed answer

Q: Find the Laplace transform of te s+1 (s+1) (s-1)2

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Q: 1. Use the Laplace transform to solve the following IVP: y"-2y' = e²" cost, y(0) = 0, y'(0) = 0

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Q: 3s+7 B. Find the inverse Laplace transform of F(s) = s(s+1)(s-3)

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Q: 1. Find the Laplace transform of f(t) = (t-3)u,(t)-(-2)u,(t). (s-3)e2 s +6s +13 2. Find inverse…

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Q: 10. Find the Laplace transform of t³ + 2t - 4. a. b. C. d. 3 ||0|0| + + + + ~~~~~~~~ - - - - 5…

A: Given  f(t) = t3 + 2t - 4

Q: 3.15 - Find the inverser Laplace transform of the following functions: 2s4+9s³+15s²+s +2 h. G(s) =…

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Q: 12. Find the Laplace transform of the period function to f(1) = 2n-t <tS2n

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Q: 1. Solve the Laplace transform of the following: iii) t'sinh(3t)

A: Given that: t4sinh(3t)

Q: 1 (iv) If f(t) = e2ºH(t), its Fourier transform is F(@) = -2+iw

A: In this question we have to find whether it is true or false.

Q: 1. Find the Laplace transform of the following. A. 1. f(t)=e2t cos 5t - 3t 2. f(t) = 7t2 - te 4 %3!

A: Given: 1. f(t)=e2tcos 5t-3t^32. f(t)=7t-te-4t To find the Laplace transform

Q: Find the Laplace Transform of ei +5 A S+4 S-4 S-4

A: Laplace transform of the function

Q: 27. Find the Inverse Laplace Transform of the following: 3s + 9 а. s2 + 2s + 10 b. -4 1 с. s(s +…

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