aplace transform, solve the IVP. = 5y₁ - 4y2-9t² + 2t, y2 = 10y1 - 7y2 - 17t² - 2t, _0) = 3, y₂(0) = 0

Q: Find the laplace transform of x(t)=tcosh(6t) Select the correct response: (s^2 + 36) /[(s^2 -36 )^2]…

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Q: Q4/ Find the inverse of Z-transform if 2(z2+z) x(z) =7-1,5z+0,5

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Q: Find the transform of the function below. j(t) = 3sinh(2t)+3sin(2t) A 6/(s^2 - 4) + 6/(s^2 - 4) в…

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Q: xn-1 ax

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Q: q1= (150-20)/2 - 1/2q2 q2= (150-20)/2 - 1/2q1 Plot these reaction functions in a graph with q1 on…

A: It is given that q1=150-202-12q2 and q2=150-202-12q1. It is required to plot these reaction…

Q: Z (² - -/-) (² - -/-) (2-

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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: Look for the inverse Laplace transform L^ -1 {s-2/(s^2+2s+26}

A: Given expression is L−1s−2s2+2s+26 We have to find the inverse Laplace transform. First of all, we…

Q: Find the fourier transform

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

A: First shifting property:If,

Q: Find Fourier transform for f (t-2)

A: We have to solve given problem:

Q: бу"" + 5у" + у'%3D0 У (0) %3D — 2, у' (0)%3 2, у" (0) 3D 0

A: We have 6y'''+5y''+y'=0 with initial conditions y0=-2, y'0=2, y''0=0 Now, apply Laplace transform on…

Q: Laplace Transform 3.4.8. -4-5y=2+ y(0)=/(0) = 0.

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Q: Find the Fourier transform

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Q: 7) f(x)= xe-x 0 if -1<x<0 otherwise

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx  We are given fx=xe-xif…

Q: 10. y = -x- 2

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Q: Find the Four

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Q: (c) Find the inverse Z-transform of Y(2) (32 – 1)(2+4)*

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Q: solve d2y 2 - 3 - ㅊ +2y = 즈가

A: This is linear equation with constant coefficients.Let's compose the characteristic…

Q: Find the function with the transform 10 1 - e-4s – 4se- â(s) = 1- e-10s

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

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Q: f(x) = 0 if -1<x otherwi

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx We are given fx=|x|if…

Q: What is the inverse Laplace transform of 4s/(s^2+16) - 36/(s^2+16)? 4s 36 s²+16 s²+16 4cos(4t) -…

A: Here we have to find the inverse Laplace transform of  4ss2+16-36s2+16

Q: 12 + 2s – 5s2 s4 A. f(t) = 12t3 + 2t2 - 5t C. f(t) = 2t3 + t2-5t B. f(t) = 2t* + t3 - 5t2 D. f(t) =…

A: We have to find the Laplace transform of 12+2s-5s2s4

Q: Use Laplace transform technique to solve y+2y+2y=e, y(0) = 3, y (0)=-3

A: We need to use Laplace transform to solve this differential equation.

Q: What is the Laplace transform of x (t) = e^- t cosπt ? Select one:

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Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.

Q: у"" + Зу" + Зу' %3D у У(0) 3D 7, у' (0) — -7, у" (0) — 11

A: We have to apply the Laplace transform method.

Q: Find the inverse Laplace Transform F(s)= 2s-6/s^2+9

A: We have to find the inverse Laplace transform of .Now, consider Apply the inverse Laplace transform,…

Q: fer) sen ax %3D

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