Example 2: find the co-efficient formula for this function : 1 for 0
Q: 5Ω u(t) F 1 H a) find V, (s) assuming zero initial conditions b) Compute the values lim v(t) and lim…
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Q: (a) Write a differential equation relating the input signal x(t) to the output signal y(t). Let X(s)…
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Q: In the network of Fig. (1), the switch is closed at t=0 and there is no initial charge on either…
A: The circuit this is excited the use of alternating supply is referred to as an AC Circuit. The…
Q: 2. What is the Laplace transform of the function f(t) defined by : f(t) = 0, for t < 0 sin (ot + 0),…
A: Laplace transform of the function f(t) is determined as shown below.
Q: 1 = 0 12 V 6 H 21,
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Q: B. Find, graphically, y(t) = f(t) * h(t) where h(t) = 8(t)- 8(t-1) and f(t) is the signal shown J…
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Q: Laplace differential equation specified fort 20 y(t)+ 6ý(t) + 8y(t) = e? with y(0)= -1 and y(0) = 2
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Q: Suppose we have a system modeled as an undamped harmonic oscillator. The system receives an impulse…
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Q: The signal below is the waveform of the input voltage to the circuit on the right. v(t) 10 20 v(t)…
A: Note :- As per guidelines we are supposed to answer only first 3 sub_parts . So I request you to…
Q: (t -t,)(u(1 + 1,) – u(t)) + - A (1 -1,)(u(1) – u(t – 1,)" x(1) =
A: Note: As per our policy, I have attempted the first three subquestions. The given function is,…
Q: Q: In the network of Fig. (1), the switch is closed at t=0 and there is no initial charge on either…
A: The circuit this is excited the use of alternating supply is referred to as an AC Circuit. The…
Q: A. Find f(t) if F (S) = 3S+1 - (S-1)(s²+1) B. solve the following equation using Laplace…
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Q: Consider a first-order dynamical system described by y(t) +2y(t) = 6u(t), where y(t) is the output…
A: Given data First order dynamic system y't+2yt=6ut yt is output and ut is inputy0-=0 and ut=10 for…
Q: III. Solve for the initial-value problem using Laplace dy - m²y = 3u(t), y(0) = 1, y'(0) =- 2 dt…
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Q: Problem:7 NE2.2 For the following systems described by the given state equations, derive the…
A: Givena)x.1(t)x.2(t)=-300-4x1(t)x2(t)+11u(t)y(t)=11x1(t)x2(t)+0u(t)
Q: y L(x,y,z) i) The function L (x, y, z) given the truth table on the right; a) Write algebraically in…
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Q: working in the s-domain determine expressions for i1 and i2 for t > 0, given the initial conditions…
A: In this question, We need to determine the expression of the current i1 and i2 for time t>0.…
Q: The switch in the circuit has been closed for a long time before opening at t=0. 1. a) Construct the…
A: Drawing a circuit before the for t<0 : As pure dc supply is present, open circuit capacitor and…
Q: Q4) For the circuit shown in fig.(4), the switch moves from position a to position b at t=0, by…
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Q: Q3: Solve by the Laplace transform, showing the details and graphing the solution: 31. y" – y' – 2y…
A: Given equation: y''-y'-2y=12ut-πsint Boundary conditions: y0=1y'0=-1 To find: Solve the given…
Q: o Continuous-Time Convolution Homework Compute y(t) = x(t) ® h(t), where x(1) h() —D и() — и(t — 1).…
A: The output y(t) using Convolution y(t) =x(t) *h(t) * convolution
Q: Q2. An LTI system is described by the equation (D + 1)(D² + 5D + 6)y(t) = Dx(t) %3D Determine the…
A: According to question: Applying Laplace transform on the LTI system equation, this will give…
Q: 1. Find i(t) for t > 0 in the circuit of Figure 1 by using Laplace Transformation. t = 0 10 Ω 60 Ω 4…
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Q: (2) Find the final value of the function f(t), where: 2(s+1) F(s) = - s(s+3)(s+5)²
A: Given: Transfer function, Fs=2s+1ss+3s+52.
Q: a) Represent the function, v(t). in terms of singularity functions. b) Determine the Laplace…
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Q: 1. a) Show that if y(t)=h(t)*x(t), then Y(s)=H(x)X(s). 2. b) Use the result given in (a) to find…
A: SO, FOR y(t)=h(t)*x(t), Y(s)=H(x)X(s) -HENCE PROVED.
Q: The following differential equation describes an LTIC system: 13 (t) + 9y (t) + 1, 63(t) = æ (t)…
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Q: Question 5. Fig. 2 provides the block diagram for the closed-loop system by the proportional control…
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Q: f(t), is defined by f(t) = 1) Sketch f(t) on the interval [0, 5]. 2) Find Laplace Transform off(t).…
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Q: Q1): For the circuit shown in fig.(1), the switch moves from position a to position b at t=0, by…
A: Given: Switch moves from position A to B. Required: Current i(t) and vL(t) using Laplace transform…
Q: II. Solve for the initial-value problem using Laplace a'y * - 1'y = 3u(t), y(0) = 1, y'(0) 2| dt 1.…
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Q: Use Laplace transform to compute the solution to the following differential equation:…
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Q: Problem #6: Let y(t) be the solution to the following initial value problem. y" – 7y' + 6y = t'et",…
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Q: Using Laplace transformation find the solution y(t) of the second order differential equation…
A: Given: A second-order differential equation: yt. .+6yt.+8yt=e-2t, t≥0 having initial conditions:…
Q: Consider the functions x(t) and h(t) given below and find y(t) = x(t) + h(t) by evaluating the…
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Q: 12.40 Find f(t) for each of the following functions: 8²+37+32 F(s) = T+1)(+2)(*+4)
A: (a) FS=8s2+37s+32s+1s+2s+4 By using the partial fraction method, 8s2+37s+32s+1s+2s+4=As+1+Bs+2+Cs+4…
Q: X(s) a. 7 %3D F(s) s² + 5s + 10
A: As per our guidelines we are supposed to be answer the first question only. Kindly repost the other…
Q: For a very long time before t = 0, the input voltage is zero. Provide the: a. Expression of the…
A: As per guidelines , we are supposed to answer 3 subpart.
Q: If we use the Laplace transformation, the solution y(t) of the following differential equation: y' +…
A: In this question we will find Laplace transform of given equation....
Q: Evaluate the following continuous-time convolution integrals: (d) y(t) = (u(t + 3) – u(t – 1)) *…
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Q: 1. Find the Laplace transform of f (t) defined by: for t < 0 f(1) = 0, = te", %3! for t 2 0 %3D
A: In this question we need to find a Laplace transform of the given signal.
Q: Solve for the output y(t) at time t = 1 if a system is represented by the differential %3D equation…
A: Given differential equation is: d2ydt2+6dydt+8y=dudt+3uWith initial conditions:y0=0y'0=0u0=0
Q: A function f(t) is plotted below. 5 0 1 2 3 4 1 Which of the following expressions best represents…
A: Which of the following expression Represents given function.?
Q: 10 Solve the following differential equation by means of Laplace transform: * + 4y (1) = -e-ªu, (1)…
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Q: Find the convolution y(t) of x(t) and h(t). st, 0 <t< 2 x(t) = {0,otherwise 1 0, (1, 0<t < 2 h(t) =…
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Q: 24 The initial value of f(t) is If F(s) s+4 s²+3s+2 The initial value of f(t) is......... 1 2 0 0.5…
A: Given: The transfer function, Fs=s+4s2+3s+2.
Q: Find the convolution y(f) of.r(() and h(t); that is, find y(f) = A() h(t)*r(1). x(1) = u(1), h(1) =…
A: xt=utht=e-5t ut Find: yt=xt*ht
Q: 30A 2ov 0,SH
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- Simplify the following expressions using Karnaugh map. Provide a complete and legible solution. 2. F(W,X,Y) = m0 + m2 + m4 + m5 + m6Calculate y(t)=x(t)*v(t) using the convolution integral for the continuous signals x(t) and v(t) given in the figure below. Write the result of y(t) as a piecewise function. Also, show the result in an approximate way by drawing a graph.Convert the following expressions to real-imaginary form: jj, e jπ .
- State equations dx1 / dt = 2x1 + 3x2 + u dx2 / dt = x1 + 4x2 + u y = x1 How many poles does the system given as?The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property F(-x) = -F(x). If , determine which of the following is true. [Assume both f(x) and F(x) are defined for all real values of x.]1. Solve the following function using Quine McCluskey method: F(A,B,C,D) = Σ(1,3,5,7,9,10,13) + d(6,14)
- 1. The simplified expression of Y(ABC)= SUM(m0,m1,m2,m3,m4,m5,m6) is: A. Y=A B. Y=A'+B C. Y=A'+B'+C' D. Y=A'Bdont use others answers show your work step by step short answer Example: Let F(A,B,C) = Σm(0, 1, 2, 6) and G(A,B,C)=Σm(1, 3, 5, 6, 7) Find the following minterms using the operations on the functions:Set up a system of first-order differential equations for theindicated currents I1 and I2 in the electrical circuit ofFig. 4.1.14, which shows an inductor, two resistors, anda generator which supplies an alternating voltage drop ofE(t) = 100 sin 60t V in the direction of the current I1.