QUESTION 2 Find the inverse Laplace transform of 3s+8 F(s) = s2 + 2s+5 O A. e-(3cos(t) + 5sin(t)) B. e-t(3cos(2t) + 5/2sin(2t)) O C. e°(3cos(2t) +5/2sin(2t)) O D. e-(3cos(t) + 5/2sin(t)) OE. e-(cos(2t) + sin(2t) F. Non of the above.

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 -2s…

A:

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: 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,…

A:

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

A:

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

A:

Q: 5- Which of the following is the inverse Laplace transform of the function X (s) = s+ 4s +8 -2t cost…

A:

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

A:

Q: Question (4 points): The Laplace transform of te_2t is Select one: O None of the others (*+2)*…

A:

Q: Question: 1. Determine the Fourier transform of the signal: f(t) = e4+J5t .cos(2t)

A: The given signal: To find the Fourier transform of the signal: The formula of Fourier transform:…

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

A:

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

A:

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 ) -…

A:

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

A:

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 10 The Laplace transform of t sin(3t) 6s (s² -9)? 6s (s²+9)? 6s

A:

Q: Question 3: Evaluate the Fourier transform of a Gaussian g(x) = ae with a, b>0 %3D

A: Given g(x)=ae-bx ⇒Fg(x)=12π∫-∞∞g(x)e-isx dx Here g(x) is defined for x>0, and  a ,b>0…

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

A:

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

A:

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 10 Find the Laplace Transform of: f(t) = te-kt sint O F(s) = 2s+2k (s+k)* +2(s+k)° +1 O…

A:

Q: Laplace transform of (e sin? c) 1 (s + 1)(s² + 2s – 4) (s + 1)(s² + 2s + 5) O Option 1 O Option 2 2…

A:

Q: QUESTION 15 Find the inverse Laplace transform of s2-5s+7 F(s) = (s+2)3 A. e-2t(12 -9t+21/2t)…

A:

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 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 +…

A:

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

A: Inverse Laplace transform

Q: Question 1 The Laplace transform of cosh(kt) is valid for O k > 0 Os k Os>0

A: Given:f(t)=coshkt

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 1: Compute the Fourier transform using the given table for the functions as follows: a) f…

A:

Q: 3. Find the inverse Laplace transform of the ff. а. (s+1)(s+2)2 10 b. s(s+2)(s+3)2

A:

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

A:

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

A:

Q: Question 2 ( Consider the initial-value problem y" + 4y = 5 sin 3t, y(0) = 0, y'(0) = 3. (a) Use the…

A:

Q: Question 3 1 What is the inverse Laplace transform of ($2+9) ($²−9)² Select one: O A. 1 1 f-1 +-²¹…

A: The objective is to find the inverse of the given expression Use  convolution theorem to find the…

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

A:

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

A:

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

A:

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: 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)…

A:

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

A: