s-1 s(s+ 1)² -1+et+2te-t 2+te-t-e-t O Option 1 Option 3 1+et-2te-t Option 2 -2+tet + et O Option 4

Q: 3500s +4200 10s?+12s +| t.

A: Find the Laplace inverse of            3500s+420010s2+12s+1

Q: 2. Calculate the inverse Laplace transform of: 4 s²-9

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Q: (iii) L-1 (3s-1. 5 (iv) L-

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Q: Evaluate the inverse Laplace transforms of the following: 1 4 이름 + S s+9 -5 20 1 -+ + st3 5s-3 ㄷ 7…

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Q: 1. (a) 2re2 (b) t²e'

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Q: Use the table of Laplace transforms to find the following Laplace transforms. Use s as your…

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Q: find Laplace Transforms e -St 2 Cos 5t-3 Sin St

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Q: 6s L-1 (s² + 9)²

A: Apply the inverse transform rule that is if L-1Fs=ft  then L-1sFs=ddtft+f0  . The expression 6ss2+92…

Q: 3. State and explain the Convolution Theorem for Laplace transform

A: To prove: State and explain the convolution theorem for Laplace transform.

Q: Find the inverse Laplace of the following Note: Factor, Reduce to Simplify before getting the…

A: Given that, F(s)=s2+3ss4+5s3+7s2+5s+6 Factoring, we get,…

Q: t'coskt

A: Use the formulas below to find the Laplace transform.

Q: to at

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Q: 4s (v) L-1 s²–16) 2 (vi) L- ((s-3)5)

A: By using the table of Laplace transform we solve the given problem as follows :

Q: Use the table of Laplace transforms to find the Laplace transforms of the following functions. cos²…

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Q: | Find the fourier series for the falowing function ; for o LtS T o ther wise

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Q: What is the laplace inverse of 5 -3s -7s - S

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Q: 2s – 10 -5s

A: We have to solve given problems:

Q: Find the Laplace transform

A: Given,

Q: -3iw sin 5w 20e F(@) = %3D 3

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Q: Find inverse Laplace transform L 15 a. .2 5.

A: Inverse Laplace transformation: - The transformation of a Laplace transform into a function of time…

Q: 3. (a) e' cost (b) 3e2' sin 21

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Q: - 10 S + 88 +29 2 (2 %-3S+ 구) 2

A: 1) Give Laplace function to find inverse is  L-1-10s2+8s+292s2-3s+72 It can be noted that L-1Fs is a…

Q: Fnd the Laplace inverse Rom the following 6 8+7 (sʻ-4S+5)²

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Q: Find the inverse laplace of e⁻²ˢ/s³

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Q: Solve using inverse laplace application with MATLAB. (syntax)

A: Explanation : For instance, syms H (s) s tH (s) = (s ^ 2 + 3 * s + 5) / (s ^ 3 + 5 * s ^ 2 + 6 * s +…

Q: 2+ cos2+ sin st CS SACt) w-2 Sin Scanner

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Q: No need to use Laplace in this question to solve like IPs, find the general solution of the ODE, and…

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Q: Find the Laplace transform of the following functions: 1. t-5/2 2. t5/2 sinh 4t

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Q: Find the Inverse Laplace of the following and show your complete solution -3s - 2 352 - 6s + 9 F(s)…

A: First we used partial fractions to segregate the given Laplace equation