Evaluate:* (s-20 Is²-9. :L-1

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: 1 Find the inverse Laplace transform of by completing the square. s? +2s +4

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

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Q: 2 Calculate the inverse Laplace of by using Convolution theorem s(s2 +2s+4)

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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: 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: a) 2-3u(t-5) cost = -t Find the 33 Ordine Lap of

A: The given function is ht=-t cos5t-3ut-5cost To find: the Laplace transform of the given function.

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: 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: 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: Find the Laplace transform of f(t)=u(t− 3)(2t² +1)+2e³ cos²t

A: The objective is to find the laplace transform of f(t).

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: Problem 1: Solve the following Initial Value Problem: y" – 4y' + 5y = 4e", y(0) = 2, y' (0) = 7 %3D…

A: Answer is mentioned below

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

A: The solution is given as

Q: Find the inverse z Transform of the following signal. 1 X(z) = , Iz| > 1 (1-글2-1) (1-2-1)

A: Consider the provided question, We have to find the inverse z transform of the given signal,

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

A: Use Laplace table

Q: a) Given that f(t) = {(tt) ((t-1)² e3t 0 ≤t≤1 t>1 i) Find Laplace of f(t) using the definition of…

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Q: Laplace Transform

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