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

Q: (2) Find the Inverse Laplace transform of the following -5s е -3s е а) s2+16 b) s²+1 se-s c) s2+4

A: By using table of Laplace transform we solve the given problem as follows :

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…

A:

Q: O 24/(s+4)4 Determine the Laplace Transform of 4t3e-4t. 24/(s+3)5 O 24(s-3)5 O 24/(s-4)4

A:

Q: Find the Laplace Transform of e-2* cos3t + 5e-2t sin3t (s+2) + 15 A) (s2+4s) + 13 15 + s2+9 В s2+9…

A:

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: Find the Inverse Laplace Transform of 10. F (s) 2s+3 s²+4s+13

A:

Q: s² + 1 L-1 [s(s - 1)(s + 1)(s – 2)

A:

Q: Show your complete solution in finding the Laplace transform of the following: 3.1. 3.2 3.3

A:

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

A:

Q: I. Find the inverse Laplace Transform of the following а. s3-5s

A:

Q: 3s+2 4. s² – 8s +25 5s2 +8s – 1 5. (s+3)(s²+1) |

A: Given Laplace Equation 4.) 3s+2(s2-8s+25) 5.) 5s2+8s-1(s+3)(s2+1) linearity property of inverse…

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: The Laplace transform of L2 sin 6t sin 3t] is S - s + (3)² s2 + (9)2 S 2s + (9)* s2 + (9)² s² + (3)²…

A: Solution by using trigonometric identities and Laplace transform table as follows :

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

A:

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

A: It is known that:

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

A:

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

A:

Q: 2-5s (s-6)(s2 +16)

A:

Q: Find the Inverse Laplace transform of  (6s+3)/ (s^4)+(5s^2)+4

A: To find the inverse laplace of any rational function , write the partial fraction of the function .…

Q: 1 Determine the inverse Laplace transform of (s–2)(s-3)

A:

Q: Find the Inverse Laplace transform of: 5s-2 а) s?(s+2)(s-1)

A:

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: 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: 2s+1 Determine the Inverse Laplace Transform of: L{; (s²+4s+4)(s2-4)*

A: Let us assume L{f(t)}=F(s) Laplace transform of some unknown function f(t) is given…

Q: 4.The inverse Laplace transform of { S-3 } is (s-3)2+16

A: ' According to the guidelines iisued by the company we are supposed to answer only one question.…

Q: Find the inverse Laplace transform of: S - 1 2s2 + s + 6

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

A:

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 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: Find the inverse Laplace transform following: 1. 2s+8 s²+4 4s+32 2. s²-16 3. 2S-1 s²-6s+18

A:

Q: Find the Laplace transform of 6e5 cos2t - e7: 6(s-5) A (s- 5)2+4 s-7 (s- 5) (B) (s - 5)2+4 s+ 7 6s…

A: We have to find the Laplace transform of f(t) = 6e5tcos2t - e7t

Q: 6s + 15 s >0 s2 + 25

A: The given function is    9s+15s2+25        s>0     we have to find inverse Laplace Transform of…

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

A:

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

A:

Q: Determine the Inverse Laplace Transform of S-- 5 S-3 (s+1)(s³-27)

A:

Q: 7. Find the inverse Laplace transform of the following function S-3 4s²–3s+5 (a) (s2-6s+10) (b)…

A: Since you have posted a question with multiple sub parts, we will solve first three subparts for…

Q: Find the inverse Laplace transform of, 1+s 1+s2.

A: we have to find the Inverse Laplace of  1+s1+s2

Q: 3s+1 5.) f(s) = s² +6s+13

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: 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

A:

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

A: Solution

Q: 6s 3. s2+4s+13

A: