t¢ (0, 5 te (0, 5 æ' (t) + 3.x (t) = f (t), x (0+) = -2, ƒ (t) = 10 sin t

Q: f(t) = 2sin(bt)sinh(bt)

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Q: F-¹ ¹(1+jw) (2+jw)

A: L

Q: Find the Laplace Transform F(t)=t^2e^(10t)

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Q: メ - Hx = 8 ; t-0,メ=? %3D

A: Given x.-4x=8  at t = 0 , x = 2

Q: Show that the Fourier transform of f (x)= e*/2 is e

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Q: find the Fourier transform f(x) = e ¹² cos fx|

A: What is Fourier Transformation: A mathematical transformation known as the Fourier transform…

Q: Find the Laplace transforms of the functions. f(t) = 3t^5/2 - 4t^3

A: Laplace transferom of the function

Q: h(t)=t^2sin(3t) laplace transform

A: Given function is,                h(t) = t2 sin3t (.)  Some properties of Laplace transform :- (i)…

Q: Let f(t) = e^t if 0=1   Write f(t) using step function and find the laplace transform. Also,…

A: We have to write f(t) using step function and find the laplace transform. Also, draw the graph.

Q: 2t-3

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Q: Find the Fourier Cosine Transform of the function -mx f(x) = (ae-m +be¯¹x}³_if_x>0 if a = 5, b = 4,…

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Q: Solve equation using Laplace transform ÿ + 9y = 8 (t -) |sin(t), y(0) = 0, ý(0) = 0

A: Formulae:  1. Lf(t)δ(t-a)=e-asf(a) 2. Lf''(t)=s2F(s) - sf(0)-f'(0) 3. L-1e-asF(s)=H(t-a)f(t-a),…

Q: write answer as fraction -(1/2)^3

A: We know , (a/b)n = an/bn

Q: +23

A:

Q: sinh ot + cos ot

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Q: find the fourier transform of logx u(t)

A: Unit step function: u(t)=1t≥00t<0 Fourier transform of a function fx is  Fp=∫-∞∞fteiptdt…

Q: Solve equation using Laplace transform ÿ +9y = 6 (t -) sin(t), y(0) = 0, y(0) = 0 %3D

A: Given the given equation is y"+9y=δt-π6sint,     y0=0,  y'0=0 Use the property of delta function.…

Q: Q3\Find the Laplace transform of: a) t et * sin(4 t)

A: Given  f(t)= tet sin4t

Q: Q5/Find the Laplace Transform 3-f(t) = sint cos t

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Q: Find the Laplace Transform L (e-t sin t)

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Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A: Using Laplace transform

Q: Determine the Fourier transform and plot the magnitude S1, It| < T/2 l0, otherwise (ii) x(t) = f(x)…

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Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

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Q: Find the Laplace transforms of the functions. f(t) = Cos^2(2t)

A: Let ft=cos22tTo find: Laplace transform of the function ft.

Q: Find the Laplace Transform F(t)=te^t*t^2

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Q: If a function is Fourier transformaboe, is there any guarantee that the function will be Laplace…

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Q: Determine the Laplace Transform of the function and evaluate f(2i)

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Q: Determine the Laplace transform of a.) 2cos^2 t and b.) 3sin^2 2x. Write the complete solution…

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