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

Q: -7 s(s+3) 2

A: Given: L-1-7SS+72

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

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Q: Evaluate the inverse laplace transform: F(s)=4s-2/s^2-6s+18

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Q: メ - Hx = 8 ; t-0,メ=? %3D

A: Given x.-4x=8  at t = 0 , x = 2

Q: Legend has it that the great mathematician Carl Friedrich Gauss (1777-1855) at a very young age was…

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Q: find the inverse Laplace transform of the given function of 4e^(-2t) / (s(s+4))   Thank you for…

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

A: First shifting property:If,

Q: Find the Laplace Transform for the function e-Nt sin² (Nt)

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Q: xct) = 3(t/4) e

A:

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: Determine the Laplace Transform of cos*t

A: cos3t≡(cost)(cos2 t) cos3t=cos(1−sin2 t) cos3t=cost⋅1/2(1+cos2t)…

Q: Find the Four

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Q: 9 (s+8)4 Find the inverse Laplace transform of

A: An Laplace Transformed function is given.

Q: Solve the Laplace Transform f(x) = 2/x

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

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Q: Find Inverse Laplace transform of this -{in (1 + #)}' where c is a constant.

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

A: Using Laplace transform

Q: How the Laplace transform method is applied to a higher dimensional PDE, illustrate with example.…

A: We have Laplace transform method is applied to a higher (Two) dimensionalPDE with example.

Q: Compute the Fourier transform of the Heaviside function

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Q: F(@) = ? -1 f(t) 1

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Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

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

A: Answer given below.

Q: oくくく 1.

A:

Q: Q2/ Find Fourier Transform the following function as in graph: (-1,0) (1,0) Pi

A: The given problem is to find the Fourier transform of the given function in the graph. We have to…

Q: Solve for the Laplace transform cosh2t

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Q: fer) sen ax %3D

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

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