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

Q: Find the inverse Laplace transform of 6e-1s + le-3s + 3e-5s + 2e-8s F(s) = (Use step(t-c) for u.(t)…

A:

Q: 13s 6+75 (s2-4)(s2+9)

A:

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

A:

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: Find the inverse Laplace transform of (i) using Residue theorem. (s+3)(s²+5s+6) (ii) using…

A:

Q: Find the inverse Laplace Transform of: 11 5s 3 1 F(s) s2 + 3 s2 + 9' 5s – 7 s4

A: Use the formulas below to calculate the inverse Laplace transform.

Q: 11. inverse Laplace transform of (a) F(s) = (b) F(s) = (c) F(s) = (d) F(s) = 3 8² +4 4 (8 - 1)³ 2s +…

A:

Q: 2s + 1 s- 1)2 + 7

A: Given that: 2s+1(s-1)2+7

Q: Evaluate the inverse Laplace transform L^-1 { (1 + e^-2s)^2 / (s + 2) }

A: Solution

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

A:

Q: 13. ) Find the Laplace transform of a) f) = 3e-t + 2 cos(t) – 5t3/2

A:

Q: 3s-1 L-1 Is²-6s+16)

A: Given:     L-13s-1s2-6s+16

Q: s+1 s2-16

A:

Q: 16. The even function f(t) = -t + 1; – 1 <t < 0; f(t + 2) = f(t) has Fourier coefficients -2 ao = 3…

A:

Q: 3. Using definition of Laplace transform, transform the following expres- sion { 0st<1 (3 - t),…

A: After applying Laplace transform, the integral value is diverge. So I think there is correction in…

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

A:

Q: Determine the inverse laplace transform: 3(s-5)/s2+9

A:

Q: 2s3+ 4s²+1 F(s) = (s²+ 2s+17)(s²+ 4s+20)

A:

Q: 2s²+7 F(s) (s+1)(s+2)(s²+ 2s+5)

A:

Q: L[(3e2t)2]

A:

Q: Q11) Determine if 8 (t) and 8' (t) even or odd by utilizing properties of Fourier transforms. What…

A: Given: δ(t) and δ'(t) are real functions. Fourier Transform property : Fourier Transform of even and…

Q: Find inverse Laplace transform of: S- 10 S2 - 25 + 10

A:

Q: 4. find the inverse Laplace transform of the given expression using the residue theorem -s? +1 F(s)…

A:

Q: Find the inverse Laplace transform of: F(x) = (4s2-2s+2) / [(s2-4)(s)]

A:

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

A:

Q: 5s – 2 F(s) s2(s – 1)(s + 2)

A: This question is related to inverse laplace transformation.

Q: Transform of f(x) = (1-) in Find the finite Fouirer Cosine (0, 7)

A:

Q: Find the Inverse Laplace Transform 2s+11 (i) using the method of residues. (s+1)(s²-5s+6) (ii) 5…

A: To find the inverse Laplace Transform:

Q: 3. Find the Inverse Laplace transform of : 5s-2 a) s2 (s+2)(s-1)

A:

Q: H.W: Find inverse Laplace transform: 3s+7 1) F(s) = - s2-2s-3

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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: 1. Find the inverse Laplace transform of the function 2/ s (s + 1) with the help of convolution.

A: 2-2e^(-t)

Q: Q2. A. Find the Z transform of : k 1. x(k) = ()" k = 1,5,9,13,.. ...... 2. x(k) = (2)*sin-k B. Find…

A: Q2 A 1.x(k)=14k   k=1,5,9,13,...  Z transform of x(k)=∑k=0∞14k z-k    for k=1,5,9,13,...=141 z-1+145…

Q: 4. The inverse Laplace transform L-1{s/(s²+8s +20)}

A:

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: The Laplace transform of tu (t-2) = e-2s %3D True False

A: The given function is tut-2 To find the Laplace transform proceed as follows  Ltut-2. The function…

Q: 8s2-4s+12 1. F(s) s3+4s

A: We have to find laplace inverse of given function.

Q: s+9 1.1.3 (s2-4s+5)(s²-4s+13)

A: We use the partial fractions and table of inverse Laplace transform to solve the given question.

Q: 3S+7 2) Find the inverse Laplace Transform of F(S) %3D s2-4S+5

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 1 s²-8s+25

A:

Q: s - 3s2 – 2 S .3 s° + s

A: It is known that:  L-1as2+a2=sinat L-1ss2+a2=cosat L-11s=1

Q: 3s+1 5.) f(s) = s² +6s+13

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: ace transform of f (t) = 5cos (7t) – 7e²t + 2t³ is: 5s 7 12 F(s)

A:

Q: 1 2. A(s) =(5-6)³

A:

Q: (b)Use the Laplace Transform operator to solve p2+4P-15 (i) L-1 (P-1)(p²+9), p+5 (ii) L-1…

A:

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

A: