PROBLEM B dx ·+ 9x = 12 WHERE : x(0) = 1 dt

Q: y Ct) = 5e - 2t Cos 67 fCt) = 3c 4t C1- 3t + 2t 2) -4t (1- 3t + 2t²)

A:

Q: Find the Laplace transform

A:

Q: g(t) = t cosh 3t

A: Find the Laplace transform of the function             g(t)=t cosh(3t)

Q: Problem 5 Using Laplace transform, solve y" - 4y + 7y = 0 y(0) = 3, y'(0) = 7

A:

Q: f (t) = e(-3t) sin(2t) cos(3t) cosh(t)

A:

Q: 2 sin 4t t

A:

Q: 3te-2Cos4t 9.) f(t) =

A:

Q: f(t) = 2t² + 4t – 3 4+2s-3s? А. c 4+4s-3s? С. s3 2+2s-3s2 В. 2+4s-3s2 D. s3

A:

Q: TT f(t) = 10 cos(t 6,

A:

Q: f (t) = t5 e(1-t)

A:

Q: 2s2+5s-4 Find the inverse transform: F(s) s3+s2-2s A. 2 – et – 2e-2t C. 1+ 2et – e-2t B. 2 + et –…

A:

Q: co sh?Ł

A: As we know,    cosht = exp(t)+exp(-t)2                  and               Laplace transform of ept =…

Q: 1. f(t) = (2e-4t + sin t)²

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2ct-3) cos Cも-3) yct) = sin 2t cos 3t

A:

Q: L{te¬3t cos 2t}

A:

Q: Find the Laplace transform

A:

Q: -1, 0≤t≤3 f(t)=2t, 3≤t≤4 1, t> 4

A:

Q: . f (t) = 2 cosh 3t

A:

Q: cos 2t cos 5t S³ +29 (s²+49) (s² +9) Option 3 None of the Choices S³ + 29 (8² +49) (s²-9) Option 4 S…

A: The solution is given as

Q: f (t) = 3u(t) + 8(t – 2) + 8(t – 5) – u(t – 7)

A: Given function is  f(t) = 3u(t) + δ(t-2) + δ(t-5) - u(t-7)

Q: f(t) = [1 – u2m(t)](2 sin t – sin 2t) |

A: