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

Q: 6. Find the iverse Laplace transform of the following functions. (a+1)e ¯ a) F(s) = %3D 2(s – 1)

A: Given:

Q: 7 The inverse Laplace Transform of the F(s)==+ is (s-3)

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Q: L-¹ s+2 2s²+4s+ 7

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Q: Question* The Laplace transform of f(t) = et-2 cos(2t-4) u(t- 2)-e-(cos(3t) - 1)

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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 of f (t) = e2t(3 sin 4t – 4 cos 4t) 3-4s 3-4s A. s2-4s+20 C. s2-4s+16…

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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: The Laplace transform of (1-cosh 2r) is a) 2 b) 2 -+- 1 d) s-4 S S+4 S s+4

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Q: Determine the Laplace transform of (1 + e-t)2 7s2-7s-10 a. s(s+1)(s+2) 14s+2s+13 b. s(s+1)(s+2)…

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

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Q: Find the inverse LaPlace transform F(s) = 5s +3 (s-1) (s²+2s+5)

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Q: O. What is the Laplace transform of f(t)=2t+3? * (2+3s)/s^2 2+(3s/s^2) 1+(3s/s^2) ) (1+3s)/s^2

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Q: 2 Determine the Laplace transform of f(t)-te"sin(3t) s-4 a. (s²-3s+5)² 6s-12 b. (s²-2s-6)² s-4 C.…

A: Given function is f(t) = te2tsin(3t)

Q: 3. Find the Laplace transform of the piecewise function 0st<1 1 S(t) = 1st<2 3 -t 2<t< 3 t23

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Q: Find the inverse Laplace transform of -6s e F(s) = s2 + 2s – 3 - - (Use for u.(t) .)

A: The given expression is Fs=e-6ss2+2s-3. We have to find the inverse Laplace transform of function…

Q: 3. Find the Fourier Transform of a t < 2 a а f(t) = 1 %3D -- 2 < t Whose graph is shown below V t. V

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Q: Find the Laplace transform of 6e5 cos2t - e7t 6. 1 A s+4 S- 7 6(s - 5) 1 B (s – 5)2+4 s – 7 (s- 5)…

A: Given f(t) = 6e5tcos2t - e7t

Q: Find the Laplace transform of f (+)= 3t-e2+ S-2 S+2 d) 3 (S-2)² S-2

A: Given that        f(t)=3t-e2t Here we have to find the Laplace transform of f(t).

Q: The Laplace transform of cos t + 2sin t is O (s+2) / 2(s^2 - 1) O (s+2) / (s^2 - 1) O (s+2) / 2(s^2…

A: If the Laplace transformation of f(t) is Fs, then it can be written that Lf(t)=F(s). Using the…

Q: 1 Find the inverse Laplace transform of X(s) = given ROC: -1<o<3. (s + 1)(s – 3) x(t) =

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Q: Determine the inverse Laplace 2s +3 transform of (s+4)

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Q: (2) Find Inverse Laplace transform for; 1 1-F(s)= s(s +1) 3 2-F(s)=- s' +4

A: We need to find the inverse Laplace transform. Part(1) We have 1ss+1 We use partial decomposition.…

Q: 10s – 3 - Find the inverse Laplace transform of F(s) s2 – 4 - 17 O f) 23 -2t -e 4 23 4 17 + 4 -2t…

A: I have stated the used formulas in the solution

Q: Give the inverse Laplace transform of 4 4 S F(s) = + 2e-48 + 3e-4s (s+3)²

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Q: 1 5) F(s)=- s-2s'

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Q: 3. Which of the following is the Laplace transform of sin (2t) - 2tcos (2t) ? A. s^2 / (s^2 + 4) ^2…

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Q: The Laplace transform of (1+ sin 2t) is 1 a) 1 b) s* +4 1 d) s* +4 2 1 c) 2 ーナー 十- s² - 4 2.

A: Laplace transformation is used to find the solution of linear,constant coefficients ordinary and…

Q: Find the Inverse Laplace transform of s – 1 s +1 + s2 1 - F(s) = (s² + 2s + 4) (s² + 5s + 6)

A: Simplify the function and then apply Inverse Laplace transformations to it. Solve it further to get…

Q: Find the laplace transform of [ 2/(s +1)]- [ 4/(s + 3) ].

A: If L[f(t)]=F(s), then f(t) is called inverse Laplace transform of F(s); f(t)=L-1[F(s)] Where;…

Q: 3. Find the inverse Laplace transform of: 2s2 + 3s - 5 F(s) = s(s + 1)(s – 2)

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Q: A- Find inverse Laplace transform of: 2e-5S S3

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Q: 7 Find the inverse Laplace transform of using Residue theorem. (s+3)(s²+5s+6)

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Q: find the inverse laplace transform of; a)  (S^2+1)/S(S-1)(S+1)(S-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: 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: 7. Find the Inverse Laplace Transform of 1 s²-8s+25

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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: What is the Laplace Transform of f(t) = 3t + 4 ? A. 4/s² + 3/s C. 3/s² + 4/s B. 3/s² - 4/s D. 4/s² -…

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Q: Find the Laplace Transform of cos(2t) + 7sin(2t) S- 14 A s2+2 14 s2+4 s2–4 14 s2+4 s2+4 s+ 14 s2+4

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Q: Find the Inverse Laplace Transform 11s – 2s +5 2s3 – 3s2 – 3s + 2 |

A: Given Inverse Laplace Transform isL-111s2-2s+52s3-3s2-3s+2The Inverse Laplace Transform is…

Q: What is the Laplace transform of 6/(s^2+4)(s^2+4)

A: Solution

Q: 2. Laplace STO 2 3. What is the Laplace transform of 2cos t?

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Q: (2) Find Inverse Laplace transform for; 3 1 (1)F(s)=- 3 (2)F(s)= s? +4 (3)F(s)= s (s +1) s (s² +16)

A: Find the inverse Laplace  as per our company guidelines we are supposed to answer ?️only first 3️⃣…

Q: (2) Find Inverse Laplace transform for; 3 1 (1)F(s) = 3 (2)F(s)= s2 +4 (3)F(s)= s (s +1) s (s² +16)…

A: Given:                 Question 4: F(s)=2s2(s+4)                 Question 5: F(s)=1s(s-1s+1)…

Q: 3. Determine the inverse Laplace transform of the following using the convolution theorem: 4 s²(S-2)

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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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