Find the Inverse Laplace Transforms of the following : Please solve problem number 6 only. Answer are already given on its side. Thanks!

Q: y Ct) = 5e - 2t Cos 67 fCt) = 3c 4t C1- 3t + 2t 2) -4t (1- 3t + 2t²)

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Q: Use the Laplace transform table to evaluate L'{F(s)}. L' 16s l(s² + 1)* J 5. 7 1. 4. s7 s-a 25 -3 25…

A: Some of the properties of the Inverse Laplace are L-1aF(s)=aL-1F(s) L-1sF(s)=ddt(f(t))+f(0)…

Q: t* + at - 4os t + t - 41 + ta

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Q: 216 X(s) = s4+5s3+15s2+45s+54 2s-9 Y(s): s(s2+10s+146)

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Q: 8. y" +9y = 20e y(0); y' ||

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Q: Problem 2 4s +3 (s – 1)°(s²+ 4) |

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Q: t2 sin 3t – 3t cos 3t

A: Given :    t2sin3t-3tcos3t

Q: 1. 2 (t+2 cos 2t)²-2 cos²2t 2 sint (e²t + 4e¯¹ + sin t)

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Q: 2ct-3) cos Cも-3) yct) = sin 2t cos 3t

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Q: 49 2s2 +16 121

A: This is a problem related to inverse laplace transform. Based on the general formula we will answer…

Q: F(s) = -5s (s² + 1)²

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Q: Problem 3. Which gives the inverse transforms of the given s-domain function?…

A: Given problem:-

Q: 6. et+7 dt 7. r'e-)* dt 8. I. 4e-" sin 6t dt

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Q: Solve the initial-value problem y" + 4y" + 5y' + 2y = 10 cos t, y(0) 0, y'(0) = 0, y"(0) = 3.

A: SOLUTION-

Q: Determine the inverse laplace transform of this function: 2 5+1 (s + 3)(5 +4s + 5)

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Q: 2s + 42 2s° +7s – 15

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Q: 1. (t + 2 cos 2t)² – 2 cos²2t

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Q: 1. 2 (t+2 cos 2t)²-2 cos²2t 2 sint (e²t+4e¹ + sin t)

A: Note: Here multiple questions are asked. But as per the Bartleby guidelines, only the first question…

Q: Have both question and answer, but need help knowing how to get that answer using laplace transform…

A: Given function is,

Q: This question is regarding to Laplace Transformations, the instructions are in the attached image w/…

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Q: Solve this inverse laplace transform problem

A: Given that the Laplace transform is                                               To find the…

Q: What is the inverse laplace transform of the problem?

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