Q1: Find the inverse Laplace transform of the function: -2s3 + 12s? – 8s – 4 F(s) %3D (s – 2)2 (s + 1)s

Q: s²+4s+10 f(s) = %3D s3+2s2+5s

A: We will find out the required solution.

Q: 8s – 18 Find the inverse Laplace transformf(t) = L¯' {F(s)} of the function F(s) : s2 – 4s + 20

A: Consider the provided the question,

Q: Let Rt) be the inverse Laplace transform of 7s2 + 15s – 6 F(s) = (s? + 6s + 10)(s – 2) What is 3/2)?

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Q: Q1/ Find the laplace transform for the following 1 - e-6t.sin(10t-8)

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

Q: Q1/ Solve the following equation using Laplace Transform, when y(0) =0, and y =2 y-3y+2y3D2t

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Q: Question included in image

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Q: 2s2 – 7s Find the inverse Laplace transform of F(s) (8 – 1 f(t) -

A: The given function is Fs=2s2-7s+5s-13 make the partial fraction as follows Fs=2s2-7s+5s-13…

Q: Q4. s+13 Find the inverse Laplace transform of s²-6s+34

A: Introduction: Laplace transformation is important in the design of control systems. It is necessary…

Q: Solve the inverse Laplace transform: 2s-4 s2+8s+13

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Q: 2s – 1 (a) Determine the inverse Laplace transform of F(s) s2 – 4s + 6 |

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Q: Q2. Find the inverse Laplace Transform of the following equation a) 2s+5 s2+5s+6

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the inverse Laplace transform of 3e-6s F(s) = s2 + 25 (Use step(t-c) for u.(t) .)

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Q: Q5/Find the Laplace Transform -3 4- f(t) = V2t E) = va Where r %3D

A: To find the Laplace transform of given function.

Q: 2s+3 Find the Inverse Laplace transform of F(s) %3D s²+4s+13

A: Formula Used: L{eat cos(bt)}=s-a(s-a)2+b2L{eat sin(bt)}=b(s-a)2+b2

Q: Q4// A / Find the Invers Laplace Transform of the following function 10 – 4s F(s) = s2 – 2s + 4

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Q: 3s Find the Inverse Laplace Transform of s2+4s+ 13 (А) -2° ( 3sin3t+2cos3t) B e" (3cos2t – 2sin2t)…

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Q: 3 2t Find the laplace transform of ett²+ e²t (2cos 3t). - 16

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Q: Q3) Find the inverse Laplace transform of the following functions: s² +1 a) F(s) = 10 +: s² +4 se-s…

A: The solution is given as

Q: Q1 - Find the inverse Laplace transform of the equation given below. y- 6y + 8y 4t2 y(0) = 1,y(0) =…

A: Suppose that f, f', f",..........,f(n-1) are all continuous functions and f(n) is a piecewise…

Q: Q5- Find the Laplace transform, if it exists, of each of the following functions f(t)= {3t²6t+ e-5t}…

A: The given problem is to find the Laplace transform of the given functions.

Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 1) L-1…

A: Given problem:- Find  L-1[(-3s2 -12s-8)/(s+2)3]

Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s2-12s-8] L-1 1)…

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Q: Q1: Find the Inverse Laplace Transform s² – 6s +7 L-1. (s² – 4s + 5)²

A: Given that                           L-1s2-6s+7s2-4s+52

Q: Find the inverse Laplace transform of - 3s? + 6s – 4 (s2 - 2s + 2)2

A: The solution is given as

Q: Q6/ Find the Inverse Laplace Transform 4-L-1( s-3 )

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Q: - 3s2 + 21s 42 Find the inverse Laplace transform of F(s) : (s – 3)3 -

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Q: 2s2 – 3s + 5 - Find the inverse Laplace transform for s2 (s2 + 1)

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Q: Q6/ Find the Inverse Laplace Transform 1 2- L-1 (s²+9).

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Q: Q5:- A. Find the Inverse Laplace Transform of the following functions 1. F(s) = S³+3s²-s-3…

A: First I have made the partial fraction of F(s) and then by taking inverse Laplace transform and…

Q: Q2. Find the inverse Laplace transform of, s2+2s+3 F (s) = (s+1)3

A: I have solved using partial fraction

Q: Find the inverse Laplace transform of 3s + 2 F(s) 4s2 + 12s +9

A: We have to find the inverse Laplace transformation of…

Q: H.W: Find inverse Laplace transform: 3s+7 1) F(s) = - s2-2s-3

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Q1: Find inverse Laplace transform of the following functions 3s 4) F(s) : s2+2s-8

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Q: 3s Find the Inverse Laplace Transform of s2+4s + 13

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Q: Q4.A. Find Laplace Transform for the signal f(t)= t sin 2t

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Q: fCt) = 3e 4t C1- 3t + 2t?)

A: The Laplace transformation formulas are Lekt=1s-k, Ltnft=-1nFns, where Lft=Fs. Simplify the given…

Q: 3s+7 B. Find the inverse Laplace transform of F(s) = s(s+1)(s-3)

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Q: 6s +3 Find the inverse Laplace transform L¬{- } (s² + 1)(s² + 4)

A: Topic = Laplace transform

Q: 3s Find the Inverse Laplace Transform of s2+ 4s + 13 A) '(3sin3t+2cos3t) B e(2cos3t– 3sin3t) C…

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Q: 2Ct -4)4 fct) = 4. 2Ct -4) %3D

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Q: Find the inverse Laplace transform of 16s3 + 25s2 – 4s + 40 e-78 F(s) s>7. 4s4 + 35s2 – 9

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Q: Q2. Find the inverse Laplace Transform of the following equation a) 2s+5 s2+5s+6 (s+1)² b) s2_s-6…

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Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find inverse laplace 9f given function.

Q: Q4. Find the inverse Laplace transform of 2s+19 s²-6s+58

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Q: H.W: Find inverse Laplace transform: 3s+7 1) F(s) = s2-2s-3

A: Given that Fs=3s+7s2-2s-3 To find the Laplace inverse transformation of the above function.

Q: 2. Moderate Find the inverse Laplace transform of s² +8s +27 (s + 1)(s2 + 4s +13)

A: To find the inverse Laplace transform of s2+8s+27s+1s2+4s+13.

Q: Q3) Find the inverse Laplace transform of the following functions:- s2+1 a) F(s) = 10 + s²+4 se-s…

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Q: s + 2 Find the inverse Laplace transform, L *{²+ 2s + 5)

A: Finding the inverse Laplace transform.

Q: Q2:Find the inverse Laplace transform o using convolution F(s) = 1 2 s -3s

A: Convolution Theorem: If L-1P(s)=p(t) and L-1G(s)=g(t)Then,L-1P(s)·G(s)=∫0tp(u)·g(t-u)duWe have been…