Consider the following IVP: x" + 4x = t+4 ; x(0) = 1, x'(0) = 0 Find the general solution. A x (t) =-t--sint – 1 - sint – 1 8 4 B x(1) =-1--sin2t+1 4 x (1) =- 12- - sinht +2 4 8.

Q: Q1 (a) Using the first shift theorem, find the following Laplace transform: L{e-2tcos3t)

A: The given question can be solved as shown in step2.

Q: Find the inverse Laplace transform of the following function by using Theorems and tables 2s + 5 +…

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Q: * +(x) = 3x6-4 (x-k)² +17, the value of the parameter k for f(x) to be a function pair IS?

A: For f(x) to be a function pair  it needs to be one-to-one, which means that each input value must…

Q: Find the given inverse transform: L-1 1 s3+5s.

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Q: (s) = (1-3s) / (s^2+8s+21) A [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] + [3*cos(sqrt(5)t)*e^ B…

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Q: Explain fermat's little theorem.

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Q: Use the first translation principle and the basic Laplace formulas to find the inverse transform of…

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

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Q: 6. Evaluate the inverse z-transform of x(z)= 2z-1 (1-2z-1)2

A: Given: xz=2z-11-2z-12 To find: Inverse z-transform of given function.

Q: find the inverse Laplace transform of the given function of 4e^(-2t) / (s(s+4))   Thank you for…

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Q: (a) Determine the Fourier transform, g(m), of the signal in figure 1. Sketch g(m). f(t) 2 -1 1…

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Q: Find out a real-life problem, which can be solved using the Fourier Transform Techniques. Also, give…

A: A Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine…

Q: NO i need it to be the Fourier transform as X(jw). Dont use this as s tranfer functions  I dont…

A: Let us go through the subpart (b) whose integral to be evaluated is .The graph of the function with…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 1. Find the transform of the equation 3x+2y-5= 0 when the…

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

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

Q: Find the Laplace transform of sint 0<t<27 f() =

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Q: 2. Find the inverse transform of 2s² +5s-6 $³3s2-13s +15

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Q: explain history of Marshall olkin transformation only why they develop and when it is first use and…

A: The Marshall-Olkin transformation is method to deal with the skewed data modelling or the data which…

Q: Determine the Laplace Transform of cos*t

A: cos3t≡(cost)(cos2 t) cos3t=cos(1−sin2 t) cos3t=cost⋅1/2(1+cos2t)…

Q: Could you derive the equation from this for βi that is used by the Newton algorithm

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Q: 더 - C 1 -2s +6 s+2 82 - 4s + 8+1 C S-2 1

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Q: Find the Fourier transform of 6e-lt

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Q: 3 s + 10 s – 40 (t) (s³ – 4 s² – 7 s + 10) (s – 4) s

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Q: Q2/ from definition of Fourier transform, show that rect (t-5) is sinc (w/2)e-/2w

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Q: Find The Fourier Transform for the signal Given y-Cosht

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

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 inverse laplace transform of H(s)= 8/(3(s^2) + 12) + 7/s^5

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Q: Find the Inverse Fourier transform of re-l

A: We need to find the Inverse Fourier transform of πe-ω. We know the Inverse Fourier transform of Fω…

Q: Describe the connection of Chebyshev to Fourier.

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Q: Please explain Tukey’s ladder of transforms and it’s relationship to/with the Rule of the Bulge.

A: Tukey's ladder of transformations is a set of procedures to handle non-normality in data and…

Q: Please help with Fourier transform of this signal. Thanks

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