QUESTION 16 1 p Find the inverse Laplace transform of 3s+8 F(s) = (s? + 1)(s? + 4) O A. 7/3sin(t) + cos(t)-4/3sin(20)-cos(20) B. costt)-4/3sin(2) C. Non of D. 8/3sin(t)+ cosit)-4/3sin(20-cos(2) E.s/asin+ cosin -1/2sin20-cos20 OF.erurct cosit-5/unan-cosan the above.

Q: COS t- if t Example 1: Find the Laplace transform of g(t), where (1) g(1) = { %3D 0, YO if t 3 CoS 3…

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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…

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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 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 8 6 1 4 Find the Inverse Transform of F (s) = - - S S-8 s- 3 A f (t) = - 6+e +4e -31 (в B f…

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Q: Question 3 (a) (b) Show that the solution y(t) of the initial value problem has the Laplace…

A: This question is all about laplace transform.  We know that laplace transforms are as  L{y"} =…

Q: Question 8 Use the Laplace transform to find the solution of the following ODE y"+16y = 28(t – x)…

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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: Question 4 Given a DE y' - y = /2 sin(/2 t), y(0) = 0. If we take Laplace Transform on both sides,…

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Q: Question 1 (a) For the function 0st<3 f(t) = - 2) t23 use the definition of the Laplace transform to…

A: According to our guidelines we can answer only one question and rest can be reposted.

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

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Q: Question 2 (The Laplace Transform). y" – 4y = 3u2(t) Use the Laplace Transform to solve {y(0) = 0…

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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…

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Q: Question 3. Apply Laplace Transform to solve the following Integral Equation + 2√² e²-² x(t) = et +2…

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Q: QUESTION 4 [20 marks] а) Obtain the Laplace Transform for the following by using the Definition of…

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

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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 &lt; 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 Use the Laplace transform to find the solution of the following ODE y"+16y = 28(t– 7)…

A: Solve the differential equation

Q: QUESTION 7 The Laplace transform of tcos(3t) 6s (s2 +9)? s² -9 (s2+9)? s² +9 (s² -9)? 6s (s² – 9)²

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Q: 1- 3s Find the Inverse Laplace Transform of G (s) = s2+ 8s +21 13 A 8(t) = - 3e-"cosh(5t) +…

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

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Q: QUESTION 5 1 p Use Laplace transform to solve the following initial-value problem. y" – 6y' +13y=…

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Q: Question 18 Find the transform of the given function by use of a table. f) = 3e * sin 5t 3(s + 4) F…

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

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Q: Question 3: Consider the initial value problem y" – 16y = sin(5t), y(0) = –1, y'(0) = 2. Evaluate L…

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

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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: Given that cos(8√t) √nt find the Laplace transform of√√cos (8√t). {√² cos(8√7)} = 0 = e-16/s √s

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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 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: 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 5. 5.1 Determine the Laplace transforms of the following functions using the table: 5.1.1…

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