2- Perform the following inverse Laplace transform using convolution theorem: 3s +1 C-1 2 Wind I S² + S

Q: 2 f(x) = (ae-4x + be-3x + ce-2x) if x > 0

A: The given problem is to find the Fourier cosine transform of the given function and also find the…

Q: F(s) = 1 (s²+4) (s²+4s+8)

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Q: s+7 s2-3s-10

A: If the Laplace transformation of the function: y(t) is Y(s), then it can be written that Ly(t)=Y(s)…

Q: A. B. Determine the Fourier transform of the following: f(t) = {te- C. D. F(w) F(w) = F(w) = F(w) =…

A:

Q: Use the second shift theorem of the Laplace transform and tables to find the Laplace transform of…

A: Second Shift Theorem: L[H(t-a)f(t-a)]=e-asF(s), if a>0 , where  F(s)=L[f(t)] and H(t-a)=0 , if…

Q: 25 s3(s2 +4s+5)

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Q: Determine the transform of the following functions using any methods . e^3t sinh 3t

A: Given function is e3t sinh3t

Q: 2-find the laplac transform for the function: t² (u-1)

A: Introduction: Laplace transform is named in honour of the great French mathematician, Pierre Simon…

Q: L{t – e-3t} = + s-3 L{t – e-3t} = =-- I. II. s-3 L{t – e-3t} = +3 L{t – e-3t} = III. IV. %3D s+3

A: We know the Laplace transforms Ltn=n!sn+1, s>0 L ea t =1s-a, s>a Now, Lt-e-3t=Lt-Le-3t L t…

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

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Q: 10s2+5s+4 F(s) (s³–6s²+11s-6)(s³)

A:

Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

Q: 1 s(s² +4)

A:

Q: F(s) = 1 (s + 1)²(s² + 4)

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Q: Solve for the Laplace transform cosh2t

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Q: N (z−2)²

A: Follow the steps.

Q: 2un + 1 NI n

A: Solution : Ƶ(2u(n)+0.5n)=? Ƶ(u(n))=zz-1     ROC=z>1   Ƶ(n)=∑n=0nz-n=zz-12     ROC=z>1…

Q: + 2+x = 2t²u(t) x(0) = 0; x'(0) = 0 %3D %3D %3D

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Q: 6s + 15 s >0 s2 + 25

A: The given function is    9s+15s2+25        s>0     we have to find inverse Laplace Transform of…

Q: ) CALCULATE THE SAPLACE TRANSFORM. INOICATE THE DOMAI. A) f4)- t Cos (24 +) e" B) ft)= et Sun t…

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

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Q: leccione una: a. x(z)= - b. x(z)= - c. x(z)= ■ d. x(z)= e x(z) = Z Z-2 Z 1-Z 1 1-2z-1 1 Z-2 1…

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Q: t, f(t) = 2t - 1, 0, 0 < t < 1 0<t<2 otherwise

A: