Please use the differential equation approach to find vo(t) for t > 0.

Q: 2. a) Write out the differential equation for t>0, for it, given the following circuit diagram…

A: Given Data:A DC RLC transient circuit with,Voltage source To Find:The differential equation for  for…

Q: The result of u(t – 3) * u(t+ 1) is: | Select one: O (t + 4)u(t+4) O (t +2)u(t+2) O u(t + 4) O (t –…

A: The given function is

Q: 2. Make a sketch of f(t) for -3s ≤ t ≤ 18s when f(t) is given by the following expression: f(t)=…

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Q: Q1)a)Given x(t) and h(t) as below find and draw y(t) X(t)=u(t-1) h(t)==8(t) + 8(t –- 5) b)Given h(t)…

A: In this question , we will find output using convolution... Note:- due to bartleby policy, I will…

Q: (c) Suppose f(t) = u(t – 2) and g(t) = u(t + 2). Using the convolution integral, derive an…

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Q: It is given that f(t)=4t2 over the interval –2<t<2 s. Is the function even or odd?

A: Analytically f(t)= 4t2

Q: Given F(s) = s+3 (s+1)(s²+4s+5) a) Use the initial and final value theorems to determine lim f(t)…

A: Given transfer function is Asked to find the,Initial and final value theorem,Plot the pole zero of…

Q: The value of the damping ratio (C) of a critically damped Second order system is OT 0-1 <1 0

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Q: 3) Determine and sketch the convolution of the following two signals both analytically and graphical…

A: Convolution is a mathematical operation used in signal processing and mathematics to combine two…

Q: The circuit below is at steady state before the switch closes att = 0. Find the voltage across the…

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Q: i(t) 0.1 H +6u(t) + 10 V · v₂(1) 4Ω + 2v₂(1) 0.625 F + v(t) I

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Q: 2. Plot in the time interval -5 <t< 10 the following signals: 2.1 u(t + 3) 2.2 u(t – 2) – u(t + 3)…

A: To plot the given signal in the interval -5 to 10 As per the guidelines I have to do a maximum of 3…

Q: Show that the system described by dr(t) y(t) = dt is linear and time invariant.

A: We neec to prove the given system is linear and time invariant . We will apply property of linearity…

Q: Question 6 Determine and sketch y(t) = x(t) h(t) for the functions shown below. x(t) = sin(nt)…

A: x(t) = sin (πt)[ u(t)-u(t-2)] h(t) = u(t-1) - u(t-3) We need to find convolution of x(t) and h(t)…

Q: 3) Determine and sketch the convolution of the following two signals both analytically and graphical…

A: Value of convolution of x(t) and h(t).  Input x(t) and impulse response h(t).  This problem is…

Q: Given the following graph, what is the corresponding function (t 0)? 1 O 3u (t – 1) + (6 – 3t) u (t…

A: From the given graph Express the signal interns of ramp and step.

Q: FAST PLEASE Find the convolution of the signals using graphical procedure. - 2 x(1) = [I(,*): TE);…

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Q: Sketch the following signals a) if t<-4 x(t)= {t +2 if - 4<t< 3 t - 2 if 3<t b) y(t) = x(t-1) where…

A: In the question,  Sketch the following signals.  We are using the shifting property.

Q: Find the value of f(t+1) * 8(t + 4) Select one: O h(t +3) O h(t + 5) h(t – 3) O h(t –

A: Answer: f (t+5)

Q: For the circuit in the figure, determine the response of i(t), valid for all t, if at t=0+, the…

A: An RLC circuit is excited by two sources: a 10 V constant voltage source and  A current source.We…

Q: If the impulse response c (t) doesn't change sign, the system is over damped or critically damped.…

A: When the system is under-damped, the impulse response c(t) of the system oscillates about the origin…

Q: estion 9: The function r(t) = sin (t) 8(t – 1) +t can %3D x(t) = 1+t B: x(t) = 6(t – 1) +1 C: r(t) =…

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Q: 2. Sketch the following convolutions: a(t) = rect b(t) = ("C. 9, 0く) 0 <t <1 other c(t) = 8(t – 1)…

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Q: Compute and roughly sketch y(t) =x(t) * h(t), where x(t) = e[U(t) – U(t – 1)] and h(t) = 2U(t) -…

A: In the question, What is output y(t) if x(t) is given and h(t) is given.  We are solving this…

Q: Represent the following signal in terms of step and ramp functions g(t) -T/2 -1 (a)(2/T) r(t+(T/2))[…

A: the solution is given below

Q: SIgnals and systems Graph these singularity and related functions g(t) = 2δ(t+3)

A: We need to draw the given signal .

Q: a) Solve the circuit in the time domain Apply the differential equation technique to find i(t) for…

A: In this question, we need to determine current i(t) as shown in the circuit.We solve this problem…

Q: Find the output of the system described by the following differential equation when the input to the…

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Q: Applying your knowledge of convolution and convolution properties, determine and then sketch the…

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Q: 5 T(s) (s + 3)(s + 6)

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Q: The state equations of a second degree circuit are given below. Find the zero-state response of the…

A: From the state Space Analysis

Q: 4) Consider a continuous time LTI system whose step response is given by s(t)=et u(t). Determine and…

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Q: G(s) = 10(s+20) (s +30) s(s+25)(s +35)

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Q: (b) Consider a following continuous-time signals below: f(t) = u(t +3) - u(t - 1) m(t) = 8(t + 1) -…

A: In this question we need to find a convolution of the given signal and it plot.

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: Compute and roughly sketch y(t)=x(t)* h (t), where x(t) = e t[U(t) – U(t– 1)] and h(t)= 2U(t) –…

A: In the question,  X(t) and h(t) is given where u(t) is step. Input Find the output y(t) = x(t)…

Q: y(t) = x(t) +0.5 x(t)dt y(t) = 2e-2tx(t) +0.5tu(t) y(t) = x²(t) +0.5e¯²tu(t) d. y(t) = 2e²tx(t) +…

A: We need to select correct option for BIBO stable system .