8. Find the Laplace transform of 0, f(t) = t < 4, t2 – 8t + 20, t> 4. -

Q: = Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t)= [38+4 +36 = L-1,…

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Q: Find the Laplace Transform of h (t) = t2 e-3t (*+3)" 4. (8+3) (8-3)" (s13)"

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Q: When calculing the Laplace transform of the function f(t)=e^2t.sin(4t) is obtained as a result:

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Q: f(t) = SO if 0 c where c> 0.

A: We have to solve given problem:

Q: Use the Laplace transform to solve the difference equation 3x(t) — 4x(t − 1) = 1, x(t)=0 for t < 0.

A: Given: The difference equation, 3xt-4xt-1=1, xt=0 for t&lt;0   To solve: The given difference…

Q: 4] Find the Laplace Transform of f(t) = { S-1 (-/= + 5 = /₁1) (1te - 1/₁1) (a) (c) S S - I (b) (d) S…

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Q: Find the Laplace transform F(s) = L {f(t)} of the function f(t) = (3 – t) (u₂(t) — u₁(t)) F(s) = L…

A: Formula of Laplace transform  Lu(t-c)=e-cssLtkf(t)=(-1)kdkdsk(F(s))

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

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

Q: 2.x²y"+xy'–3y= 0,x>0

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Q: dt (te-¹u (t))?

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Q: 1) x(t) = 1(t- 47T)

A: Solution 1: Given function is x(t)=1(t-4T)           (1) Let the z-transform of x(t) is X(z)…

Q: Find the Laplace transform F(s) = L {ƒ(t)} of the function f(t) = (9 – t) (u₂(t) — u6(t))

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

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Q: Calculate the Laplace transform of the expression f(t) = sin tu(t – 2n) -

A: Given function: We have to calculate the Laplace transform of the given function.

Q: Find the inverse Laplace transform of 7s + 3 82 + 17 8 >0

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Q: x(t)=sin(t-3T)

A: Z transform

Q: when 0 k

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Q: -2sin4t Determine the Laplace transform of the equation f (x) = 2 e´ 10 A s²+4s+20 8 B s²+4s+ 20 20…

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Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

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Q: Show that the finite sine transform of , 0 < x < n is (- 1y*'- p

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Q: Find the laplace transform of H(t) when H(t) = (e^2t-3)(e^2-t)

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Q: 1. Deduce the continuous function whose Laplace Transform is 10 F(p) P (p² + 9) 2.Find Р2—ЗР+10 (i)…

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Q: Find the la place Transfo F($) = t 2 Z F(t) = te

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

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Q: Q3\Find the Laplace transform of f(t) defined as 03

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

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Q: sx 14-X Find the Fourier transform of function f(x) = , 0<x< 14 14 < X <16

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

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Q: d²fl() » (1 -a)f(), where a is a constant a | dt dt

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