olution, find 1 - Using convo a. L-1 s² + s-6

Q: 5. f(t) = sin (6t).

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

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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: 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: Using the Laplace Transform find the function F(S), knowing that f(t) = 6e$t + sen(3t ) – 8 cos(9t)

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Q: 2 The inverse Laplace transform by using integral of transform s(s2 +2s+4)

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Q: Fourier transform Laplace transform O True O False

A: We have to state true or false The Fourier Transform is particular Laplace transform.

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: 7s2 – 3s + 26 F(s) (8 – 1)(s² + 9)

A: Explanation of the solution is given below...

Q: d²x dx (v) - 2 + 10x = e2t x(0) = 0, x' (0) = 1 dt2 dt

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Q: 3s – 137 L(f) s2 + 2s + 401

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Q: 3,0 <t< 4 L{F(t)}where F(t) = {2t – 5, t2 4

A: Solution:-

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

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

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Q: L{t + e³t} _Laplace dönüşümü için aşağıdakilerden hangisi doğrudur? I. L{t + e*} = + L{t + e³*} =-…

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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: e. L-1 1 S3 +9s

A: Note: According to the guidelines we are allowed to solve one question at a time. So please post…

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: 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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