Solve the following initial value problem (IVP) of y" – 3y - 10y = 2 where y(0) = 2 and y (0) = -1. First, get the Laplace transform. Then on the choices, determine the solution for y(t) by inverting the transform. O y(t) = - +4e-# - * O yle) = - + 금e+ O vt) = - +4e * +* -2t

Q: M=5 1. Solve the following difference equation by using Z-transform by replacing the value of M as…

A: A difference equation is an equation in which sequential relation is defined for various discrete…

Q: Question* The Laplace transform of f(t) = et-2 cos(2t-4) u(t- 2)-e-(cos(3t) - 1)

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Q: 5- Which of the following is the inverse Laplace transform of the function X (s) = s+ 4s +8 -2t cost…

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Q: If Z(x1(n))=X1(z) and Z(x2(n))=X2(z) then what is the z-transform of correlation ?between the two…

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Q: Use matrix to solve for X(s) and Y(s) in the equations below and find the laplace transform of X(s)…

A: To solve the given problem Simplify for X(s) and Y(s)  Using inverse laplace transformation solve…

Q: 3) Using Z-transform properties, perform the z-transform of the following discrete-time signals a)…

A: Note-  Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Consider the IVP y''-y'=-30e3tcos(t), with y(0)=1, y'(0)=-12. Take the Laplace transform of both…

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Q: Laplace Transform. Please show your complete solution

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Q: using Laplace transform. S=10h 'T=coh Ft = ht+by - banjos (8)

A: The given differential equation is:y''-4y'+4y=4cos2t;  y0=2,  y'0=5. We have to solve using Laplace…

Q: B/Fnd Z transform z(n) = " (n) – u(n-5))

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Q: 1. Let F : L² (R¹) → L²(R¹) be the Fourier transform. That is: 1 F(f) = = √e-i(+1) e-i(x,x) f(x) dx.…

A: Problem is solved using concept of Fourier Transform.

Q: 4 None of the Choices f(t) 1 (e²+ e ²¹)-(e₁-e²₁) Option 3

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Q: 2e 5(s+1) (a) Determine I |(s+4)' ` s² +2s +5 3.

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: 3. f(t) = [sin(2t)]^2 %3D

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Q: (a) Compute the convolution between signal xt) and xz(t) by using Z-transform method. Signal x₁ (t)…

A: To compute the convolution between the signals x_1(t) and x_2(t) using the Z-transform method, we…

Q: 6) Use a Laplace Transform to solve. y(4) - 4y(3) + 6y" -4y' + y = 0; y(0) = 0, y'(0) = 1, y"(0) =…

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Q: Find the inverse laplace transform of the followings; a)  X(s)=(s+2)/(s^2+2s+5)…

A: a) Xs=s+2s2+2s+5 Apply Laplace Inverse transform…

Q: Determine the Z Transform of the following system. Kindly upload your answer sheet in a PDF format.…

A: The given system is: xn=12nn≥50n≤4 We know that the Z- transform of a system xn can be expressed as:…

Q: Evaluate the inverse Laplace transform s+8 ~²{; 4s + 29

A: The function is .To illustrate the inverse Laplace transform for .

Q: 2. f(t) = -7(e^3t)[sinh(2t)] A. -14 / (s^2 – 6s + 5) B. (-7s + 21) / (s^2 – 6s + 5) C. -14 / (s^2 -…

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Q: 1. Solve the following difference equation by using Z-transform by replacing the value of M as per…

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Q: I have not yet been taught Laplace Transform by my lecturer, I believe. Isn't there another way…

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Q: What is the Laplace transform of f(t) = (t^2)sinh(8t). %3D O (1024 + 48s^2)/(s^2+64)^3 O (1024 -…

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Q: M= 2 Solve the following difference equation by using Z-transform by replacing the value of M as per…

A: Given that,yk+2-2Myk+1+M2yk=M 2ky0=0, y1=MFor M=2,yk+2-22yk+1+22yk=22kyk+2-4yk+1+4yk=2k+1y0=0, y1=2

Q: Solve for the inverse Laplace Transform of 8 F(s) 53 - 3s2 – 4s 8 f(t) = – 2t + 2 a. + te4t Ob. 8…

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Q: Mrs. Wigen conducted a survey in her math class. She asked each of her students to tell her how many…

A: The data plotting helps to visualize the relationship between variables. A dot plot consists data,…

Q: 7. Graph the function f(t)=2U(t-1)-3U(t-2) and find its Laplace Transform 8. Write the function…

A: Remark : As per new guildline,  in case  of posting multiple question we will answer of only first…

Q: 1. Deduce the continuous function whose Laplace Transform is 10 F(p) P (p² + 9) 2.Find Р2—ЗР+10 (i)…

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Q: Which of the following is True about the Fourier transform of the signal x(t) = u(t) — u(−t)? - X(w)…

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Q: Given that the Fourier transform of e- πt^2 is e- πs what is the Fourier transform of the following…

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Q: The Wigner-Weyl transform is given by W (r,p) dy V 2mh a) Proof that |W(2)* = / dp W(r.p).

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: find

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Q: Suppose the Fourier transform F(w)=re-lwl, is known. Show that the inverse Fourier transform, viz.,…

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Q: The inverse Laplace transform of F(s) = = -98 e 8² +18 2 is

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