2)

Q: -7 s(s+3) 2

A: Given: L-1-7SS+72

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: f (t)%3 3e ' cosh ( In 2r)

A:

Q: Is that 9/4

A: We have to write the in given solution it is g/4 or 9/4

Q: Derive the general formula for the Laplace transform of sin bt.

A:

Q: 2t-3

A:

Q: Derive the 1st Shifting Property from the defifinition of the Laplace transform.

A: First shifting property:If,

Q: f(t) = e-3t sin(4t).

A: Introduction: Laplace transform is named in honour of the great French mathematician, Pierre Simon…

Q: Find the inverse Laplace Transform of the following problem. F(s)= 1-3s / s^2 + 8s + 21

A:

Q: sinh ot + cos ot

A:

Q: use the Laplace transform to solve the initial value problem.

A: It is required to solve the initial value problem using laplace transform:

Q: Find the Laplace transform of (te-2cost)

A: Use property of Laplace transform

Q: tind Laplace Transform for The funcfion

A: Laplace transforms are usually used for changing domains of the variable. For example if initially…

Q: Q3\Find the Laplace transform of: a) t et * sin(4 t)

A: Given  f(t)= tet sin4t

Q: Use Properties of the Laplace Transform to find £{sin³/}

A: Step 1: Step 2:

Q: Q5/Find the Laplace Transform 3-f(t) = sint cos t

A:

Q: Find the inverse Laplace transform of Y (s) = + 1(1 - e-**).

A:

Q: e at -e bt

A:

Q: Determine the Laplace transform of L(t sin 3t)

A:

Q: QI\Find the Laplace transform of 1)(3 + e6t,2 2) t2 et sin 4 t

A:

Q: Use the definition of Laplace transform and Euler's formula to find the Laplace transform of cos t…

A: We use the definition of Laplace transform and Euler's formula to answer the given question.

Q: Show how to do the Laplace transform of f(t) = t*cos(w*t) using the table of operational transforms.

A: Given  f(t) =t cos ω t

Q: F(@) = ? -1 f(t) 1

A:

Q: Find the Laplace transform of sinh3 4t

A: