Evaluate the inverse Laplace transform of : 13s (a) (s2–4)(s²+9) 40s (b) (s+1)(s+9)(s²-9)

Q: Find the Fourier Sine Transform of the function f(x) = ae^(-bx) if x > 0 if a = 14.5 and b = 11.…

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Q: Find the inverse 2-Transforrm of log(z f log 241 by Power senies method and by division method

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

A: First shifting property:If,

Q: 3. State and explain the Convolution Theorem for Laplace transform

A: To prove: State and explain the convolution theorem for Laplace transform.

Q: Evaluate the given Laplace transform: L(cos^2 3t)

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Q: Find the Laplace transform of f () = a2. Answer: 3 a. b. C. d.

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Q: ėt, Cost Cos 2t

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Q: tind Laplace Transform for The funcfion

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

Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 5…

A: Here we have to find out f(t) using inverse Laplace transform.

Q: Rectangle PQRS is reflected across the x-axis. The image is P'Q'R'S'.Which two further…

A: Given Rectangle PQRS is reflected across x axis then image is P'Q'R'S'

Q: Use the transforms in the table below to find the inverse Laplace trans form of the following…

A: By using given table we will find the Laplace inverse transformation.

Q: to at

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Q: How is the existence of the Laplace transform of a function guaranteed?

A: We known that the  Existence of the Laplace transform of a function guaranteed

Q: Find sine transform of e-[165]t/t

A: The Fourier sine transform is defined as                                  Fsfx = Fss = ∫0∞fx sinsx…

Q: | Find the fourier series for the falowing function ; for o LtS T o ther wise

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Q: How the Laplace transform method is applied to a higher dimensional PDE, illustrate with example.…

A: We have Laplace transform method is applied to a higher (Two) dimensionalPDE with example.

Q: Find the fourier Transform for the signal Given Ye Sinh (H)

A: Given: Signal, y=sinhtTo find: Fourier transform of the given signal.

Q: Find the la place transform of the following. Simplify your answer f(+) = sin3t Sinht

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Q: This is a two-part question. (a) The correct form for the partial fraction decomposition of 4+5+45…

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Q: Second Shift Theorem 5. Find the inverse Laplace transform for the following expression by Second…

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Q: 4. Find the Inverse Fourier transform of Te-l@l.

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Q: ind the invers

A: First we will find the value of the given integral: intsinf 1/[u2(u2+1)] du Then we will find the…

Q: How does one find the inverse Laplace transform for the arccot(1/s)?

A: Let,

Q: f) = (ae aet t<0 3) Find Fourier Transform for the following function as in figure:

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Q: a) Find the finite Fourier cosine Transform of f (x) = x² in 0 < x < 4.

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Q: 4. Find the inverse Laplace transform of 1/(s² + 4s + 5) Enter your answer

A: Solution :   Given that  1s2+4s+5

Q: What is convolution used for and how is it related to a Lapace Transform?

A: To explain the concept of convolution (of two functions) and its connection with Laplace transform

Q: Find the Laplace transform of sinhot. Recall that coshot = {sinhbt} = | [sinhbt} = {sinhbt} =…

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Q: What is the Fourier Transform of sinc(2*x) ? Please show your work. I'm so confused

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Q: ť' sindt

A: Solution

Q: Derive the following Laplace Transform asing the definition: fCt) =te at

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