k) F(s)=Ln S+2 S-3

Q: 1 F(s) V5(s+5.5)5.5

A: The solution is given as

Q: 8s – 18 Find the inverse Laplace transformf(t) = L¯' {F(s)} of the function F(s) : s2 – 4s + 20

A: Consider the provided the question,

Q: t< 3 4 5. g(t) = e(t-3) t23

A:

Q: 1. f(t) = e3t 2. f(t) = t3 3. f(t) = cosh(3t) %3D 4. f(t) = cos(2t) 5. f(t) = sin(5t) cos(5t)

A:

Q: 3 4 1.1 F(s) = - 6s – 24 .5 S

A:

Q: 582 28s - 26 (s+2) (S-2) (5-2)

A:

Q: Solve the inverse Laplace transform: 2s-4 s2+8s+13

A:

Q: Find the inverse Laplace transform of the following function. s² + s +1 S3 +8²-2 G(s) Your answer…

A:

Q: S F(s) = (s + 3)(s² + 4),

A: The solution is given as

Q: s-1 1.5 F(s) = -T S (s+2)(s* + 2}]e (s+2)(s²

A:

Q: 2s2 + 5s – 4 3. s3 + s² – 2s -

A:

Q: 1. y' + 4y = 1; y(0) = -3 2. y' – 9y = t ;y(0) = 5

A:

Q: 12 d*x(t) 5 dt3 d²x(t) dt² + 5x(t) = 3cos(2t) d²x(0) 2, dt2 dx(0) 1, dt x(0) = 1 3s2 + 5s + 1 X(s) :…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 2e-2s 22. F(s) = s2 – 4

A:

Q: 2. e-4t sin (8t)

A:

Q: 7. L-1 s+4 s²+4s+8,

A:

Q: f(t)=cos(at). f (t) = 2cos(3t). f(t)=1-cos(wt) f(t)= 4t · -f(t)=e.

A: Given,     1.  f(t)=cos(at)

Q: Find the following Laplace and Inverse Laplace Transform of the function. (Kindly typewrite the…

A: Laplace transforms

Q: sketch the given function and determine its Laplace transform.

A:

Q: 8s + 12 s² + 4s + 29

A:

Q: Problem 3. Which gives the inverse transforms of the given s-domain function?…

A: Given problem:-

Q: 5. f(t) = 3e -3* (4cos5t – 3sin7t) 6. f(t) = 3(2 – 2e-at)

A: 5)  Given function , ft=3e-3t4cos5t-3sin7t . . .(1) We use some formulae Laplace transform:…

Q: F(s) = (5 + 3 s+3e = (F(x بر 3² (3+2) 38 +4 F(s) = 2 + 6s + 13)

A: Given: Fs=s+3e-3ss2s+2 We know, L-11s=1,…

Q: 3. Find the inverse Laplace Transform of the g

A:

Q: b. f(t)= 2 t et-3 +3 t<2 2≤t <3 3 ≤t

A:

Q: Determine the inverse laplace transform of this function: 2 5+1 (s + 3)(5 +4s + 5)

A:

Q: 5s2-2s-19 7. F(s) = (s+3)(s-1)2

A: We have to find the inverse Laplace transform of given F(s).

Q: Sketch the following functions and find their Laplace Transforms: 1.) (t – 1)u(t – 1)

A: Image is attached with detailed solution.

Q: -3t cosh 2t

A:

Q: L[(1² +51)U₂ (1)]

A: