0 9. f(t)=t-n 0 if t 2π

Q: 8. x(t) = e2" (t³ + 3t) %3D

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Q: 6. 7. 5 (s+3)² 3 s2-32

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Q: Cestit

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Q: 1 s²+4s+4

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Q: sin 3t f(t) t

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Q: a k 2 + k² S 2 + k² k

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Q: 2t e Sinht

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Q: f(t) = e-2tsin²tcos²t

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Q: f(t) = te¯3t cos² 2t -3t cos 2t

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Q: 2s2+10s F(s) (s + 1) s2-2s+5

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Q: f(t) = cosh wt sin wt

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Q: on the function fcs) 35 - 17 s- 65+25 %3D

A: Inverse Laplace transform of function is : 12e3t(6cos4t-sin4t

Q: 50 (s² + 15s + 2) 25s2 + 202s + 25

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Q: Find the Inverse Laplace Transform.

A: The given function is Fs=10s-48s-53. Let 10s-48s-53=As-5+Bs-52+Cs-53. Remove the fraction and obtain…

Q: 3. F(s) = = 3s+2 (s-4) (s+1)(s-3) 4. F(s) = 5s-2 s³+3s²+s

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Q: 10s2+5s+4 F(s) (s³–6s²+11s-6)(s³)

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Q: y" - 4y + 13y = sin(2t) y(0) = y'(0) = 0

A: We have to solve the differential equation  by Laplace transformation.

Q: FIND THE INVERSE LAPLACE TRANSFORM

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Q: Find L (t*ett)

A: You asked to find inverse Laplace transform.but your image is for Laplace transform.

Q: Find L-1 (24) 3 2s-4

A: Answer

Q: f(t) = t²sinh3t

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Q: 2s-1 's²-6s+18*

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Q: 1. F(s) = S-6 s²+4s+5 2. F(s) = 3s²+5s-4 54

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Q: 5: F(s) = (+2s+1) +7

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Q: 2s2 + 5s - 6 s3 - 3s2 – 13s + 15 69 3 69 A. f(t) = " e5t -1et C. f(t): est +1et 3 -3t 32 -3t 32 16…

A: L-12sz+5s-6s3-3s2-13s+15Take the partial fraction of…