Find the Laplace transform of F(s) = 0, sin(nt), 4 sin(t), f(t) = 4 t<4 4≤t<5 t> 5

Q: Compute the Laplace transform. Your answer should be a function of the variable s: s(πt)} = c{₁+ +…

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Q: Solve for the laplace transform x(t)= (cosh4t sin4t)/ (te6t)

A: The given function is x(t)=cosh 4t sin 4tt e6t=cosh 4t sin 4tte-6t

Q: (a) f(t) = cosh² t (b) f(t) = 2 sinh? 2t 2

A: To find the Laplace transforms of the given functions we will use the following table of Laplace…

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: f (t) = e(-3t) sin(2t) cos(3t) cosh(t)

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Q: Find the Laplace Transform of f(t) = cos t u(t-1)

A: The given function is f (t) = cos (t) u (t – 1):   Find the Laplace transform of the given function.…

Q: Find the Laplace transform F(s)=L{f(t)} of the function f(t)=e^(−3t) cosh⁡(5t).

A: Laplace transform of the function, f(t)=cosh(at) is

Q: Use differentiation in time domain to solve the the Laplace transform: y"-y'-6y=0; y(0)=6, y'(0)=13

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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: 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: 3 3 e. f(t) 5 sin2t *cos2t e-'cos2t - 10

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Q: 2x" - 3x' + x = 0 x(0) = 2, x'(0) = −1

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Q: when 0 k

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Q: f(t) = tg'(t)

A: The solution is given as

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: 5 The inverse Laplace transform of F(s) = 5² - 2s+5 1 f(t) = 5e²¹ sin 2t f(t) = 5e¹ sin 2t 5 f(t) =…

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Q: d the Laplace transform F(s) of f(t) = 5tu(t – 4) F(s) = (5/s^2+10/s)e^(-5s)

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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: Prove that the Fourier transforım of f' (x), the derivative of f (x) is – ip f (p), where S(p) is…

A: Answer: For the given data,

Q: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

A: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

Q: Find the Laplace transform of sin 21, 0<t < 2n S(): 0, 12 2n

A: we have given the function f(t) = sin2t,  0≤t≤2π   0,          t≥2π we have to find the Laplace…

Q: Part A) How that L(tnf(t)) = (−1)n ((dnF(s))/(dsn)), where F(s) is the laplace transform of y(t). In…

A: The problem is related with Laplace transform.  First in part (A), we have to show that Ltnyt =…

Q: Find Laplace transform of the function: f(1) = sin 21(et cosh 41+ cos(x + 1))+1(2 cos 31+1'e¹) 11.00

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Q: Find the laplace transform of the function:  f(t)=t^3

A: Here we have to find laplace transform of f(t)

Q: -2 -7 -1 5. Consider the differential system Y' = AỸ for A = 1. -2 -5 3 2 1+3i 1– 3i (a) Given that…

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Q: x (n) = sin лn u (n)?

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