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Sum inv and differentiators to simulate the differential equation = x - 3x X(t) is the...
. 8) Use Summing, amplifiers, inverting amplifics and differentiators to simulate the differential equation © 15y...
. 8) Use Summing, amplifiers, inverting amplifics and differentiators to simulate the differential equation © 15y = {_33 xat) is the input , y c) is the output. Label circuit components with appropriate values.
Find the differential equation relating input x(t) to output y(t) for the following circuit: Please be...
Find the differential equation relating input x(t) to output
y(t) for the following circuit: Please be descriptive, I would like
to understand all parts of the equation better.
x(t) y(il
slove in Matlab AP2. A system is modeled by the following differential equation in which X(t)...
slove in Matlab
AP2. A system is modeled by the following differential equation in which X(t) is the output and (() is the input: *+ 2x(t) + 5x(t) = 3u(t), x(0) = 0, X(t) = 2 a. Create a state-space representation of the system. b. Plot the following on the same figure for 0 st s 10 sec : i. the initial condition response (use the initial function) il the unit step response (use the step function) iii. the total...
4. Using Laplace transform, solve the differential equation x" + 4x' + 3x = δ(t) +...
4. Using Laplace transform, solve the differential equation x" + 4x' + 3x = δ(t) + e-2t, χ(0) = 0, x'(0) = 0
Consider the differential equation: 0)+ y(t)-x(), and use the unilateral Laplace Transform to solve the following...
Consider the differential equation: 0)+ y(t)-x(), and use the unilateral Laplace Transform to solve the following problem. a. Determine the zero-state response of this system when the input current is x(t) = e-Hu(t). b. Determine the zero-input response of the system for t > 0-, given C. Determine the output of the circuit when the input current is x(t)- e-2tu(t) and the initial condition is the same as the one specified in part (b).
III) Consider the following differential equation: 5•(t) + 3x(t) - 4 = 0, x(0) = 2....
III) Consider the following differential equation: 5•(t) + 3x(t) - 4 = 0, x(0) = 2. 1. Find the backward solution. 2. Is this solution convergent or divergent? Justify your answer. 3. Determine the stationary solution and indicate whether it is stable or unstable. 4. Sketch a phase diagram and a time-path diagram.
Problem 3: Insights into Differential Equations a. Consider the differential equation 습 +4 = f(t), where...
Problem 3: Insights into Differential Equations a. Consider the differential equation 습 +4 = f(t), where f(t) = e-u, 12 0. Please write the forms of the natural and forced solution for this differential equation. You DO NOT need to solve. (7 points) b. Again consider the differential equation f(t), where f(t) is an input and y(t) is the output (response) of interest. Please write the differential equation in state-space form. (10 points) c. The classical method for solving differential...
Problem B: Given the following non-homogenous differential equation, build a circuit using a minimum number of...
Problem B: Given the following non-homogenous differential equation, build a circuit using a minimum number of operational amplifiers to simulate its forced response: y + 4y + 3y = Sinot Show all design details, and also label the output of every operational amplifier.
b only v(t) Set up the differential equation and solve for the voltage in the circuit...
b only
v(t) Set up the differential equation and solve for the voltage in the circuit shown to the right for the following component values. a) i(t)-3x(t), b)i(t)-Su(t), R-200 Ω, L-4nH, i1(0)-0A R-1000 Ω, L-40 ml, iL(0)-2A
Problem 1. The input x(t) and output y(t) of an LTI system satisfy the differential equation...
Problem 1. The input x(t) and output y(t) of an LTI system satisfy the differential equation d’y(t) + wốy(t)=r(t), where wo is a fixed real number. A) Find the right-going impulse response of the system. B) Find the left-going impulse response of the system.
. 8) Use Summing, amplifiers, inverting amplifics and differentiators to simulate the differential equation © 15y = {_33 xat) is the input , y c) is the output. Label circuit components with appropriate values.
Find the differential equation relating input x(t) to output
y(t) for the following circuit: Please be descriptive, I would like
to understand all parts of the equation better.
x(t) y(il
slove in Matlab
AP2. A system is modeled by the following differential equation in which X(t) is the output and (() is the input: *+ 2x(t) + 5x(t) = 3u(t), x(0) = 0, X(t) = 2 a. Create a state-space representation of the system. b. Plot the following on the same figure for 0 st s 10 sec : i. the initial condition response (use the initial function) il the unit step response (use the step function) iii. the total...
4. Using Laplace transform, solve the differential equation x" + 4x' + 3x = δ(t) + e-2t, χ(0) = 0, x'(0) = 0
Consider the differential equation: 0)+ y(t)-x(), and use the unilateral Laplace Transform to solve the following problem. a. Determine the zero-state response of this system when the input current is x(t) = e-Hu(t). b. Determine the zero-input response of the system for t > 0-, given C. Determine the output of the circuit when the input current is x(t)- e-2tu(t) and the initial condition is the same as the one specified in part (b).
III) Consider the following differential equation: 5•(t) + 3x(t) - 4 = 0, x(0) = 2. 1. Find the backward solution. 2. Is this solution convergent or divergent? Justify your answer. 3. Determine the stationary solution and indicate whether it is stable or unstable. 4. Sketch a phase diagram and a time-path diagram.
Problem 3: Insights into Differential Equations a. Consider the differential equation 습 +4 = f(t), where f(t) = e-u, 12 0. Please write the forms of the natural and forced solution for this differential equation. You DO NOT need to solve. (7 points) b. Again consider the differential equation f(t), where f(t) is an input and y(t) is the output (response) of interest. Please write the differential equation in state-space form. (10 points) c. The classical method for solving differential...
Problem B: Given the following non-homogenous differential equation, build a circuit using a minimum number of operational amplifiers to simulate its forced response: y + 4y + 3y = Sinot Show all design details, and also label the output of every operational amplifier.
b only
v(t) Set up the differential equation and solve for the voltage in the circuit shown to the right for the following component values. a) i(t)-3x(t), b)i(t)-Su(t), R-200 Ω, L-4nH, i1(0)-0A R-1000 Ω, L-40 ml, iL(0)-2A
Problem 1. The input x(t) and output y(t) of an LTI system satisfy the differential equation d’y(t) + wốy(t)=r(t), where wo is a fixed real number. A) Find the right-going impulse response of the system. B) Find the left-going impulse response of the system.
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