Q1) a) Find the inverse Laplace Transform of 18 y(s) = s(s + 3)(s + 6)

Q: 2. Find the inverse Laplace transform of the following functions using the laplace of integral…

A: In this question,  Inverse Laplace transform of the given signals We know some standard Laplace…

Q: d- Find the inverse Laplace tran s+3s +5 (s+3)(s+4)(s+6) 1. F(s) =

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

Q: Problem 4 Compute the Laplace transform of v(t), when dv(t) a) + 6v (t) = 4u(t), v(0-) = - 3V dt…

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Q: Q5) Find F(s), Laplace Transform of f(t) = sin(wt)

A: we need to find laplace transform of sinwt.

Q: 6: Non-sinusoidal voltage is applied on (10Q) resistance with consumed power of (521.25W) and the…

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Q: 2- Find the inverse Laplace transform of the following functions 1 (a) G(s) = s (s+2)(s+3) 100(s +2)…

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Q: Determine the inverse Laplace transform of 6. F(s) = 5 + 7s - s + 4 s2 + 25

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Q: F(s) = 1 (s² + 4)(1- eπS)'

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Q: For the output y(t) having a Laplace transform of: Y(s)=(s+21)/(s3+7s2+80s) Determine the final…

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Q: Identify the Laplace transform of the function shown in the figure if A is 14. g(t) A A M. 0 1 2 3 t…

A: In this question we need to find the Laplace transform of the given signal.

Q: Find the inverse Laplace transform

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Q: 3+2s² +5s+175 $3+4s²+25s+100 F(s) :

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Q: Given f(t) and g(t) as shown below: Q. The Laplace transform of g(t) is f(t) 1 O O ○ O O 2 1 (e³s S…

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Q: The Laplace Transform for f"(t) is O s^2F(s) - sf(0) - f'(0) O F(s-a) O SF(s) - f(0) O -F'(s)

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Q: 4. Find the inverse Laplace transform of 2s+20 F(s)= (s+1)(s² +6s+34) Solution:

A: The transfer function,

Q: Find the inverse Laplace Transform of X(s).

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Q: Question (4): x'(t) = y(t) – 3x(t) + 3, y'(t) = 2x(t) – 4y(t) + 8 x(0) = 12, y(0) = 15 | %3D

A: Given case is of unilateral Laplace transform.   Formula for unilateral laplace…

Q: CLASS WORK: CIRCUIT ANALYSIS WITH LAPLACE TRANSFORM QUESTION Use Laplace transform to find Vo(t) for…

A: I am attaching detailed solution image of this question.

Q: S Q2 (a) Determine the inverse Laplace transform of X(s) = 9s2+16

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Q: Determine the inverse Laplace transform of each of he following functions: 2 1 a) F(s) S s + 1 3s +…

A: F(S) =FS+2S+1 L-1[F(S)] = L-1 [FS+2S+1] L-1 F(S) = f(t)  L-1 [1S]=1 L-1[2S+1]= 2e-t Therefore, f(t)…

Q: Find the Laplace transform of the following signals (assume t > 0): a) v(t) = -7u(t), where u(t) is…

A: In this question,  Find the Laplace transform of the given signals.  Laplace transform of the Some…

Q: Solve the differential equation to find y(t) using the Laplace transform. d² y dy +2 + 2 y = u(t)…

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Q: Find Laplace transform for x(t) in the following differential equations assuming zero initial…

A: Calculation of Laplace transform of the given differential equations. Assuming zero initial…

Q: c) Determine the inverse Laplace transform of 1 (1) (S+2)2 (s+1) S+6 (ii) S(s2+ 4S+3)

A: First we will split the given function by partial fraction. than we will apply inverse laplace…

Q: Find the Laplace Transformof the following functions 20s 2) f(t)=tsin(@t) Ans F(s) = (s* + w*}

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Q: 19. Find the Laplace transform of [1 +sin 2t cos2t]u(t). +2s+16 a) s(s-4) s+2s+16 b) s(s2+42)…

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Q: Determine the inverse Laplace transform of: t s+2 s²+9s+18 -6<R{s} <-3

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Q: The inverse Laplace transform of the following function is: 1 F(s) = O a. (e 4t)t O b. None of the…

A: Transfer function is defined as the ratio of output to input with zero initial conditions  The…

Q: Find inverse Laplace transform of 10 F(s) = (s + 2)(s² + 6s + 10)

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Q: Find the inverse Laplace Transform of H(s) = (8/(3(s2)+12)+

A: In this question we will find inverse Laplace transform of given signal....

Q: . Determine the Inverse Laplace Transform of the function below.

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Q: Find the Inverse Laplace Transform of the fe 1) F(s)=- s+S 9) F(s) = s'-5s 1 2) F(s)= s' +4s %3D 10)…

A: We are authorized to answer three sub parts at a time, since you have not mentioned which part you…

Transfer function

A transfer function (also known as system function or network function) of a system, subsystem, or component is a mathematical function that modifies the output of a system in each possible input. They are widely used in electronics and control systems.

Convolution Integral

Among all the electrical engineering students, this topic of convolution integral is very confusing. It is a mathematical operation of two functions f and g that produce another third type of function (f * g) , and this expresses how the shape of one is modified with the help of the other one. The process of computing it and the result function is known as convolution. After one is reversed and shifted, it is defined as the integral of the product of two functions. After producing the convolution function, the integral is evaluated for all the values of shift. The convolution integral has some similar features with the cross-correlation. The continuous or discrete variables for real-valued functions differ from cross-correlation (f * g) only by either of the two f(x) or g(x) is reflected about the y-axis or not. Therefore, it is a cross-correlation of f(x) and g(-x) or f(-x) and g(x), the cross-correlation operator is the adjoint of the operator of the convolution for complex-valued piecewise functions.