QUESTION 15 Find the inverse Laplace transform of s2-5s+7 F(s) = (s+2)3 A. e-2t(12 -9t+21/2t) OC.e-2(t+t) O D.e-2(1-9t+21/2t) OE.e-2t(1-9t+21) O F. e(1-9t+21/21) B. Non of the above.

Q: Question 2. Find the inverse Laplace transform: 5 1 s-6

A: The formulas of Laplace inverse which will be used to obtain the solution of the given function are:…

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: Question 16 Find the Laplace Transform of e4t + 5 A + s- 4 B s+4 C s-4 D) s+4 s2 - + +

A: The solution is given as

Q: Question 3 a) Solve the initial value problem by using the Laplace transform. y" - 5y'+6y = 4sin 3t,…

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Q: Question 6 Find the Inverse Laplace Transform of s2+4s+4 A -21 te te D 12e-

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Q: Question 1A(The Laplace Transform) y" - 3y' + 2y = u4(t) Use the Laplace Transform to solve y(0) = 0…

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Q: Question 3, Given that the Laplace transform of f(t) is F(s)- %3D 2+a+1 then the Laplace transform…

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Q: Question 1 (a) For the function f(t) = (3t³ – 2)e", find the Laplace Transforms L {f(t)} and L…

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Q: Question 12 Find the Laplace transform of g(t) = 4cos(4t) - 9sin(4t) + 2cos(10t) (A G(s) s2+4 s2+ 16…

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Q: Find the inverse Laplace Transform of 3(S-1) A. 3(cost + sint) B. (S-1)²+1 3s s²-2s+2 C. 3(S-1)…

A: We will use table of Laplace transform

Q: Question 22 6s – 5 Find the Inverse Laplace Transform of F (s) = s2+7 5 A f (1) = 6cos(/7t ) -…

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Q: Problem 04: (a) Find the inverse Laplace transform of the following: 1 e-3s -7- -3 e-7s F(s) 10 F(s)…

A: Use the following formulae, to obtain the solution.…

Q: Question 3: Consider the initial value problem y" - 25y = sin(3t), y(0) = -2, y'(0) = -1. a) [6…

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Q: 1: Find the Inverse Laplace Transform of: 2s+1 (a) s2 +9

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Q: Question 9 s+7 Find the Inverse Laplace Transform of s2- 3s – 10 12 5t (A) + -e 7 5 -Sr. 12 21 B 7 7…

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

Q: Please please please solve a question in a quarter of an hour 2ks Find the inverse Laplace transform…

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Q: Question 1: Compute the Fourier transform follows: a) f (t) = -5?u(t)e-st +e=7t=

A: Given,                     f(t)=-1t-52u(t)e-5t+e-7t2Where u(t) is the unit step function.

Q: Question 7 2s +3 Find the Inverse Laplace Transform of F (s) = s2+4s + 13 A f(t 2sin3t--cos3t 3…

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Q: Question 9 Give the Laplace transform of the solution of a) Y = b) Y = c) Y = d) Y = e) Y f) None of…

A: 9.

Q: Problem 3. Find the inverse Laplace Transform of 3s F(s) = s7 %3D - - s2 + 16 s2 + 16 5

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Q: Question 2 Find the inverse Laplace transform of -4s H(s) = - e

A: The solution is given as

Q: QUESTION 4 Find the inverse Laplace transform of F(s) = s?(s+2) O A. Non of the O B.…

A: To find inverse Laplace transform of F(s)=3s2(s+2) Find the partial fraction of 3s2(s+2)…

Q: Question 2: Find the inverse Laplace transform of 10 a) F(s)= s(s+2)(s+3)? b) F(s)=- s+4s+5 1 c)…

A: The given problem is to find the inverse Laplace transforms of the given functions F(s). We have to…

Q: Question 4. Find L- Note: Here L-¹ stands for Inverse Laplace Transform s²-2s+2 and L−¹ s²-2s+1

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Q: -1.5s Find the inverse Laplace transform of G(s)- $(1+e+e+e15$ s(s+2) -2.2s

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Q: Question 10 The properties of the Laplace transform are inherited from properties of the integral.…

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Q: Question 13: The Laplace transform of g(t) = { let t5 A) = e-3s B) e-3s e-5(S-1). C) S-1 D) None of…

A: To find- The Laplace transform of gt = 0t < 5ett ≥ 5 is:     Formula Used-  ℒft = ∫0∞e-st ft dt

Q: Question 8. 3s2 If F(s) = -s+1 is the Laplace transform of f(t), find the following, correct to…

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Q: Question 13 Find the Laplace Transform of h(t) = t? sin(2t) 4s2 – 3 A H(s) (s2-4)3 3s2 -4 B H (s) =…

A: For the solution follow the next steps.

Q: Question 40 Find the Laplace transform of u (1) =2-3u (t-2)+ u (t-3) A -3s 21 -25 +e S- - 2- 3s +…

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Q: Question 24 Find the Inverse Laplace Transform of s2+4s +4 A te D le -2 2.

A: Inverse Laplace transform

Q: Question 8 Find the Laplace transform of h(t) = 3sinh(2t) + 3sin (2t) 3 (A H(s) + s2+4 s2- 4 2 В…

A: Laplace transferom

Q: Question 21 Find the Laplace Transform of g(t) = e3t + cos(6t) - e3cos6t 6 s+3 (A) G(s) = s+3 (s –…

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Q: Question 1 | Find the Laplace transform of f(t) = 4e" by using the definition.

A: The given function is: f(t)=4e2t The Laplace transform formula is: L(s)=∫0∞f(t) e-stdt...(1)

Q: 1 (5+3)(s+7) Laplace Inverse Transform of.

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Q: QUESTION 2 Find the inverse Laplace transform of 3s+8 F(s) = s2 + 2s+5 O A. e-(3cos(t) + 5sin(t)) B.…

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Q: Question 2 86s – 78 Find the Inverse Laplace Transform of (s+3)(s-4)(5s– 1) A -3e-3 + 2e4+. 4e -31 –…

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Q: QUESTION 9 Using the table to find Laplace transform of e'sinh(2t) OA. 3 B. Non of the above. C. 1 O…

A: Recall the following. Lsinhat=as2-a2If Lft=Fs, then Leatf(t)=Fs-a

Q: Question 8 Find the transform of the given function of s. 6s - 49 F (s) s2 - 8s + 41 A -5t = e (6…

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Q: Question 13 Find the inverse Laplace transform of 2s-16 F(s)= s-16s OA1+2e4t+2e-4t OB1+1/2e2t…

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Q: QUESTION 10 Using the table to find Laplace transform of e3tsin(2t) O A. 2 OB. 2s 2 OD. E. Non of…

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Q: Question 7 Find Inverse Laplace transform of 1 1 a)F(s) b)F(s) = s3-4s s2+6s+10

A: Solution is given below:

Q: 1 1: Find the inverse Laplace transform L-1 s2 + 3s + 2.

A: We have to find Laplace inverse transform of 1/(s2 +3s+2)

Q: QUESTION 11 Determine the Laplace Transform of tsin(3t). O (3s2+27)(s²-9)2 O 6s(s2-9)2 O…

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Q: QUESTION 14 The Laptace transform of )-te'sin(2r) is 4(s+ 1) 4(s-1) (s-1)+4) 2. -1)+4 B. 2(s- 1)…

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Q: Question 2 Evaluate the Laplace transform of e2¹ f (1), given that: 3 L[f]: ³√ S =

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