Using the Laplace transform, solve the IVP. i = 5y1 - 4y2- 9t2 +2t, 10yn- 72-17t2-2t, yi(0) = 9, y2(0) = 0 %3D %3D %3D n(t) 2(t)= %3D

Q: x(t) =

A: To find the Fourier transformation of xt=u3t+2e-j2t

Q: Using Laplace transform, solve the following simultaneous equations: y₁+3y1 - y2 u(t-1)et, Yo…

A: We solve given simultaneous equation by using Laplace transform.

Q: The differential equation: y' (t) − y(t) = 0 can be written in a vector equation: ´y' (t) 1 'y' (t)…

A: False

Q: x2 , Ix1 a = find Fourier transform of f(x)=

A: To determine: The Fourier transformation of  f(x) = x2 ,     x<a 0 ,       x>a

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Q: Find the Fourier coefficients a0, ak  and bk off on [ - π,π] .                                 f(x)…

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

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Q: Q6) -bt (a) Derive Fourier transform of the following signal: x(t) = 2ce za u(t). Then plot the…

A: Given: xt=2ce-bt2au(t)

Q: 2s2+5s-4 Find the inverse transform: F(s) s3+s2-2s A. 2 – et – 2e-2t C. 1+ 2et – e-2t B. 2 + et –…

A:

Q: 1) Find the Laplace transform of the following function: f(t) = e-12t (3 cosh (3t) — 3 sin(12t)) —…

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Q: A splnner with 6 equally slzed slices has 2 blue slices, 1 yellow slice, and 3 red slices. The dial…

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Q: :Q4: Use the Fourier Transform properties to find the FT of the following signals (a) x1(t) = x(1 –…

A: Only 1st individual question is to be answered.

Q: Using the Laplace transform, solve the IVP. y = 5y₁ - 4y2 - 9t² + 2t, y2 = 10y₁ - 7y2 - 17t² - 2t,…

A:

Q: 7s2 – 3s + 26 F(s) (8 – 1)(s² + 9)

A: Explanation of the solution is given below...

Q: Part I. Find the Laplace Transform of the following: -2t_e-3t 1. ƒ (t) = 2. f(t) = 38(t) – 4u(t – 2)…

A:

Q: Using the Laplace transform, solve the IVP. y₁ = 5y₁ - 4y2 - 9t² + 2t, y2 = 10y₁ - 7y2 - 17t² - 2t,…

A:

Q: { x2, Ix1 a ||

A: Given function is f(x)=x2     x<a0      x>a let the Fourier transform of f(x) is F(s) So we…

Q: Convolution method: Find the function whose Fourier transform is 1 (4 + k2)(9 + k²)

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Q: Find the Inverse Laplace Transform. Y (s) (10s + 8) తాతి s3

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Q: Find the Inverse Laplace Transform. F (s) = 6s-54 82 +16

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Q: 5. Determine the Laplace Transform of te2t cos5t s2-2s+11 a. (s²+4s–29)² s2+2s+21 b. (s2+4s+13)2…

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Q: The Laplace transform of f (t) = 5cos (7t) – 7e2t + 2t³ is: %3D

A: Given- ft=5cos7t-7e2t+2t3 To Find- The laplace transform of the above expression.

Q: Exercise (2): Find the inverse Laplace transform of the following functions. 59}. (1) L- (2) L-1 (3)…

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Q: Find invertible representation of Y, = 0.9Y;-1 + e; + 0.5e;-1

A: Given: time series AR(2) process  Yt=0.9Y(t-1) +et+0.5 e(t-1) Then find invertible of Yt?

Q: Q.2) Find the inverse Laplace transform of (s + 1) b) s2 + 2s + 10

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Q: 8s2-4s+12 1. F(s) s3+4s

A: We have to find laplace inverse of given function.

Q: Determine the Fourier transform of the function f(t) = H (t)e-5t

A: Heaviside unit step function, H(t)=0,t<01,t>0By the definition of Fourier transformation,…