Find the Laplace transform of the solution of initial value problem Select one: O A. None O B. O C. O D. O E. 6s +3 (8² - 9) (s - 1) 3 8² - 9 1 4s +3 3 (s - 1)(s + 3) g2 y" + 2y' - 3y = 6e³t, y(0) = 0, y'(0) = 1

Q: Laplace transform of (e-t sin? t) 1 2 (s + 1)(s² + 2s – 4) (s + 1)(s² + 2s + 5) DOption 1 O Option 2…

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Q: How to solve this equation y''' - 8y" + 4y' +48= 4x2+1 using Laplace Transformation.

A: Converting the equation in Laplace transform:…

Q: (28x if |x|1* Find the Fourier transform of (x) = { %3D

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Q: Q4 Solve step Functions in Laplace transform t < 6 x ≥ 0 f(t)= = { = 8+ (-8+ (t-6)²

A: The given problem is to find the Laplace transform of the given unit step function. Use the…

Q: 5s + 7 (s + 2)2 A. f(t) = e-2t (5+ 7t) C. f (t) = e-2* (5 – 7t) B. f(t) = e-2t (5 + 3t) D. f(t) =…

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Q: c) Use a pair (table) to findz-transform of x(n) = 20.65 √2 cos((-)n-1.415)u(n)

A: Introduction: There are many properties that are followed by Z-transformation. It helps us to…

Q: Find the Fourier transform of 8(t+2) + 8(t – 2).

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Q: I am very confused on these two problems and I have homework due in 30 minutes.

A: Both problems concern finding deriviatives of functions ,using standard rules of differentiation

Q: 2.) у" - Зу' — 2у %3D0 У (0) %3D0, у'(0) %3D 9 ,у" %3D0

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Q: Q3. (a) Consider the continuous function f(t)=sin(2xnt). i) What is the period of fſt)? ii) What is…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Laplace transform of x(t) = cos(4f)u(t) %3D 16 X (s) = s* +16 4 X (s) = s* +16 X(s)D s? +4 X(s) = s´…

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Q: Find the inverse Laplace transform L-{F(s)} of the function e-2s F(s) : %D s2 + 5s – 50 NOTE:…

A: Given that Fs=e-2ss2+5s-50 We have to find the inverse Laplace transform of Fs that is L-1Fs For…

Q: Use the Laplace transform to solve the initial value problem: 2y" + 3y' - 2y = te-²t, y(0) = 0,…

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Q: 2) find the fourier transform x(t) = u(t) x(t) ulzt) x²(t) = u(+ + 5) -

A: xt=utxt=u2txt=ut+5xt=ute-jw0t

Q: 9S +14 6. L'. (S – 2)(S² +4)

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Q: Find the Fourier transform of f(t) = {, t 0 12e-t O 2/(1+jw) O 1/(1+jw) O -1(1+jw) O -2/(1+jw)

A: We have to find the Fourier transform.

Q: Solve for the Laplace transform of sint sin 2t cos t

A: The given function is f(t)=sin t sin2t cost  rewrite the function as  f(t)=122sin t cost sin2t…

Q: Determine the constants a, p, yo and y'o so that 3S +3 Y(s) = (s + 2)² is the Laplace transform of…

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Q: 5. 2y"+3y"-3y'– 2 y = e',

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Q: Suppose solving an equation by Laplace transform results in 4 (s+ 18) Y (s) : %3D (s+9)² * Evaluate…

A: Laplace transform of the function y(t) is defined as Y(s)=∫0∞e-sty(t)dt, where s&gt;0. Since the…

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. 3t…

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Q: y -7y +10y= 9cost+7sint, 5, y =-4 2

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

A: Heaviside unit step function, H(t)=0,t&lt;01,t&gt;0By the definition of Fourier transformation,…

Q: Find the inverse Laplace transform of 16s3 + 25s2 – 4s + 40 e-78 F(s) s>7. 4s4 + 35s2 – 9

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