Laplace Transform

Q: y" + y = √2 sen √2t, y(0) = 10, y'(0) = 0

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Q: Find the inverse Laplace transform of the following transfer function: Y (s) U(s) (s+7)2 + 25 50…

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Q: Consider the function f(t)t(t-1)u(t-1) - (t− 2)u(t-2) + (t− 3)u(t - 3). 11.1 Write f(t) as a…

A: As per the question, we are given a function f(t) defined in terms of the unit step function u(t).…

Q: (cos(t - 27/3 ) t> 2/3 .Find I f(t) if f(t) = t<0

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Q: f (t) = e(-3t) sin(2t) cos(3t) cosh(t) f (t) = v1+ sin t + (8t)15 + t² cos 3t %3D

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Q: Solve the Laplace Transform of the given function 6e5t cos(2t) – e7t

A: Solved below

Q: f(d) = e-2d d4

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Q: Find the Laplace Transform of the function. Show your work. f(x) = sinh(ax)

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Q: Use the Laplace transform to solve the initial-value problem x" + 4x = f(t), x(0) = 0, x'(0) = 0,…

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Q: 10. Find the Laplace transform of 10 cos Tt (1 < t < 2)

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Q: Use the Laplace Transform to solve the initial value problem. Show your work. y" – y - 2y = 5 sin x;…

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Q: f(t) = 3 sinh 2t + 3 sin 2t ; L{f(t)} =?

A: The given function is f(t)=3 sinh 2t+3 sin 2t. The following formulae are used in finding the…

Q: S Prove that L(cos 3t) (s²+9)

A: Given L(cos3t)

Q: 3s – 137 L(f) s2 + 2s + 401

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Q: y" – y = 46(t – 2) + t². y(0) = 0, y'(0) = 2. Con

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Q: Solve the differential equation y" +4y' +4y 6e", y(0) =-2, y'(0)=8. using Laplace transform

A: Given differential equation:y''+4y'+4y=6e-t ; y0=-2 and y'0=8To find: solution by using the laplace…

Q: laplace transform

A: Given function is yt=3e-tcost-2cos2t-sin2t We need to find the Laplace Transform of the function.

Q: 4.0 f(t) = 3 – e-3t + 5 sin 2t

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Q: 3. Solve y" – 2y' + 5y = 0, y(0) = 5, y'(0) = -3.

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Q: 10. Solve F (1) =1 +2 F (t- u) e 2" du.

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Q: S 1.Prove that L (coswt) = %3D s2+w2

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Q: 5. If the Laplace transform of f(t) find F(4s)

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Q: 2s Prove that L(t sin t) (s²+1)²

A: We can use the concept of Laplace transform in order to solve the given problem.

Q: Given Answer 1. Se- dx 2. Sxe-* dx 3. Sx? e-* dx

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: L[e-3tcos (3t) + 3e-3tsin (3t)]

A: The solution is given as

Q: Use the Laplace transform to solve 1 x = 4x + 1y y' = x(t) = y(t) = - 29x - 6y x(0) = 2, y(0) = - 12

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Q: x"(t) + 4x" (t) + 9x'(t) + 10x(t) = -24te'; when t = 0, x = 0, x' = -4, x" = 10

A: Use Laplace table

Q: Laplace Transform

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