II. Using Transform of Integral 1 a.) F(s) = s² (S-1)²

Q: -3(1-cosh 377t) t

A: We are given : -3(1-cosh 377t)t Let, f(t)=-3(1-cosh 377t)t Now, L-3(1-cosh…

Q: Find Inverse Laplace Transform £-1 12-7S $5/2

A:

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

A:

Q: 1 (s² +25)²

A:

Q: a5u Find the Fourier transform of

A: The Fourier transform of the function f(x) is represented as If(x), it is defined as…

Q: * + 3x + 6x = 0, x(0) = 0, x(0) = 3, x(t) =?

A:

Q: teat

A: A Laplace transform of a function implies the conversion of real variable function (mostly ) into a…

Q: 2s – 10 -5s

A: We have to solve given problems:

Q: Find the Laplace transform

A: Given,

Q: 72+54s + 8s2 – 9s³ 9. Find the following inverse Laplace transform: L1 s5 + 9s3

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Q: Find the Laplace transform of 4t2 + 5t3.

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Q: 4iw i3w3 + 6i²w2 + 11iw + 6

A: Given: 4iωi3ω3+6i2ω2+11iω+6 To find: Inverse Fourier Transform of the given expression.

Q: Write the general equations for the following: a. Laplace Transform b. Fourier Transform

A: The Laplace and Fourier transformation are two important integral transformations with kernel one.…

Q: Solve the inverse Laplace transform: 3s s2+4s+13

A: We need to find L-1{3ss2+4s+13}

Q: 5s-6 s2-3s

A: Given Laplace transform is; (5s-6)/(s2-3s).

Q: Find L-1 (24) 3 2s-4

A: Answer

Q: a. L [2x5 + 3x³ - 10x² - 4] b. L[2 sin 3t 3 cosh 4t] c. L[5-3e-2x + 4 sinh 2x]

A:

Q: e-iw 3. 2 + iw

A: The given problem is to find the inverse Fourier transform of the given function. Given function…