e2" (18 + 5t – 2) 6 + 5(s – 2)² – 2(s – 2)³ (8 – 2)ª 2 - (8 – 2)* (s – 2)² Option 2 Option 3 6 (s + 2)* (8 – 2)? 2 Option 1 None of the Choices 2.

Q: Find the Laplace transform of the function

A: The Laplace transform of the function is represented as or , it is defined as , since the…

Q: Use the Laplace transform to solve the initial value problem y'" + y' – 2y = 2e*, y(0) - - 1, y'(0)…

A:

Q: (6) y" +16y = g(t), y(0)=0, y (0)=1, %3D g(t) = { 1, 0<t< T 0, %3D

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: determine the Laplace transform of the 21. given function using Table attached

A:

Q: -2x jika x > 0 jika x <0 f(x) =

A:

Q: 49 2s2 +16 121

A: This is a problem related to inverse laplace transform. Based on the general formula we will answer…

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

A: Given problem:-

Q: t 3. Lif(t) = 2t (sin 2t 0 ≤t <2 2 ≤t<π † Σπ

A:

Q: 2. x(t) = e5t + cos 3t %3D

A:

Q: 3) L {cos лt}

A: The formula of the Laplace transforms of cos(at). L[cosat]=ss2+a2 L[cosπt]=ss2+π2

Q: e at -e bt

A:

Q: Find the Laplace transform

A: Given,

Q: (t – 1)* 24 24 12 4 1 24 24 12 4. O option 2 Option 1 24 - 24s- 12s2+ 4s° + s4 24 - 24s +12s2- 4s +…

A: Using Laplace Transform to Evaluate the Function (t-1)^4

Q: 3. x(t) = 3t7 + 8

A:

Q: S L-²¹ {1²5²+7²7²} ; L and n

A:

Q: :) f(t) = sin (wt + 0); sin (ot + 0); %3D

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: 2S-1 s2-6s+18' 8) L-1 {

A: 1. linearity property :-    L-1[af¯(s)+bg¯(s)]=aL-1[f¯(s)]+bL-1[g¯(s)]=af(t)+bg(t) 2.  if…

Q: 5. Find the Fourier transform of of 6e-lt.

A:

Q: 1. x(t) = 3t5

A: Given Function: x(t)=3t5 constant multiplication property of Laplace Transform:…

Q: 2) L (sin(wt + O)}; w and O are constants

A: