Solve the following initial value problem using Laplace transform: d²y dt² 18 dy where +45y = g(t), y (0) = -1/3, t-o=9, 3 0 < t < 6 6 6 ≤t g (t) Let Y (s) be the Laplace transform of the solution y (t). Then evaluate Y(-1/3) y (-1/3). Y(−1/3) · y (−1/3) =( )

Q: Use Laplace Transform to solve Ø(t) + 2 * cos(t−7)ø(7)dt = e¯¹ for ø(t). -t 0

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Q: Incorrectly, we usually say that when we multiply any number by ten we “add” a zero to the number.…

A: a) Jushua is wrong because the correct answer is 10×1.3=13 b) If a whole number is multiplied by 10…

Q: A. Find the Laplace transform of each given expression (5 (2) i++ t sin(3t) + y, where x = z(t), a…

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Q: 6. Find the inverse Laplace transform of the function (3²-²)(as + b) I(s) = (s² + a²) (s² + 3²)

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Q: . Find the Laplace transform of the function f(t) = 2t + 3 cos(3t) + 4 sin(3t)

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Q: If the Fourier transform of f(t) = is F(w), express the Fourier transform of g(t) = 2 0<t<1 0…

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Q: Find the Laplace transform of 3t 2 cos 7t + e

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Q: 5. Find the inverse Laplace transform of the function H(s) = as + b (s-a)² +32° a = 9,b= 10, a = 4,8…

A: We have to find the inverse Laplace transform of the function H(t)=as+b(s-α)2+β2 when a=9, b=10,…

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

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