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3. An LTIC system is specified by the equation (D2 9)y(t) (3D 2)x(t) Assume y(0)3,y(0) 6 d) What is the characteristic...
An LTIC system is specified by the equation
An LTIC system is specified by the equation(D2+9)y(t)=(3D+2)x(t)y0(0^-)=6a. Find the characteristic polynomial, characteristic equation, characteristic roots, and characteristic modes of this system.b. Find y0(t) the zero-input component of the response y(t) for t ≥ 0, if the initial conditions are y0(0−) = 2 and y0(0^-)=-1
Please show all the steps, Thank you! Find yol(t), the zero-input component of the response for an LTIC system described by the following differential equation: (D2 + 6D +9)y(t) (3D+5)r(t) where the i...
Please show all the steps, Thank you!
Find yol(t), the zero-input component of the response for an LTIC system described by the following differential equation: (D2 + 6D +9)y(t) (3D+5)r(t) where the initial conditions are yo(0)-3)0(0) -7
Find yol(t), the zero-input component of the response for an LTIC system described by the following differential equation: (D2 + 6D +9)y(t) (3D+5)r(t) where the initial conditions are yo(0)-3)0(0) -7
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t) Find the characteristic poly...
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t) Find the characteristic polynomial, characteristic equation, characteristic root(s), and characteristic mode(s) of this system. a. b. Is this system asymptotically stable, marginally stable, or unstable? Justify your answer.
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t)...
(b) Given a LTIC system described by (D2 + 3D + 2)y(t) = Dx(t) with initial...
(b) Given a LTIC system described by (D2 + 3D + 2)y(t) = Dx(t) with initial conditions y(0) = 0, y(0) = 5. X(t) = e . Find the zero input response. [10 points)
Questions 4-5: An LTIC system can be described by an equation: dy(t) dr 2 + 2x(t)...
Questions 4-5: An LTIC system can be described by an equation: dy(t) dr 2 + 2x(t) dt? 4. What will be the zero-input response y(i), if the initial conditions are yo (0) = 0, and Y. (O) = 12 A). y.(t) = e" + B). y(t)=en-ex C). y.(t)=e-2 -2% D). y(t) = -2-2 +e-3 The transfer function of the LTIC system can be calcu . If the input signal of the system is x(t) = 8(6), what will as H(m)...
please answer 2.2-3 parts a,b, and c Simplity your ansel. 2.23 A real LTIC system with...
please answer 2.2-3 parts a,b, and c
Simplity your ansel. 2.23 A real LTIC system with input x) and output y) is described by the following constant-coefficient linear differential equation: (D' +91)) {y(t)} = (2D3 + 1) {x(t)} . (a) What is the characteristic equation of this system? (b) What are the characteristic modes of this system? (c) Assuming yzir(0) = 4, yar(0) =-18, and jrr(0) =0, determine this system's zero-input response yzir). Simplify yzir() to include only real terms...
5. Find the unit impulse response of a system specified by the equation (D2 5D 6)y(t)...
5. Find the unit impulse response of a system specified by the equation (D2 5D 6)y(t) (D2 7D 11)x(t)
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input 1(1) and output y(t) is...
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input 1(1) and output y(t) is specified by the differential equation D(D? + 1)y(t) = Df(t). a. Find the characteristic polynomial, characteristic equation, characteristic root(s), and characteristic mode(s) of this system. b. Is this system asymptotically stable, marginally stable, or unstable? Justify your answer.
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).
4: An LTIC system is specified by the impulse response h() 3sin(rt) shown in Fig. 2....
4: An LTIC system is specified by the impulse response h() 3sin(rt) shown in Fig. 2. Find the zero state sponse for the input a) xt)-2ut) b)x) 8(-1) h(t) 3sin(t) 1/2 1 Fig. 2
Please show all the steps, Thank you!
Find yol(t), the zero-input component of the response for an LTIC system described by the following differential equation: (D2 + 6D +9)y(t) (3D+5)r(t) where the initial conditions are yo(0)-3)0(0) -7
Find yol(t), the zero-input component of the response for an LTIC system described by the following differential equation: (D2 + 6D +9)y(t) (3D+5)r(t) where the initial conditions are yo(0)-3)0(0) -7
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t) Find the characteristic polynomial, characteristic equation, characteristic root(s), and characteristic mode(s) of this system. a. b. Is this system asymptotically stable, marginally stable, or unstable? Justify your answer.
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input f(t) and output y(t) is specified by the differential equation D2(D +1)y(t) (D - 3)f(t)...
(b) Given a LTIC system described by (D2 + 3D + 2)y(t) = Dx(t) with initial conditions y(0) = 0, y(0) = 5. X(t) = e . Find the zero input response. [10 points)
Questions 4-5: An LTIC system can be described by an equation: dy(t) dr 2 + 2x(t) dt? 4. What will be the zero-input response y(i), if the initial conditions are yo (0) = 0, and Y. (O) = 12 A). y.(t) = e" + B). y(t)=en-ex C). y.(t)=e-2 -2% D). y(t) = -2-2 +e-3 The transfer function of the LTIC system can be calcu . If the input signal of the system is x(t) = 8(6), what will as H(m)...
please answer 2.2-3 parts a,b, and c
Simplity your ansel. 2.23 A real LTIC system with input x) and output y) is described by the following constant-coefficient linear differential equation: (D' +91)) {y(t)} = (2D3 + 1) {x(t)} . (a) What is the characteristic equation of this system? (b) What are the characteristic modes of this system? (c) Assuming yzir(0) = 4, yar(0) =-18, and jrr(0) =0, determine this system's zero-input response yzir). Simplify yzir() to include only real terms...
5. Find the unit impulse response of a system specified by the equation (D2 5D 6)y(t) (D2 7D 11)x(t)
2. (Chapter 2). A linear, time-invariant, continuous-time (LTIC) system with input 1(1) and output y(t) is specified by the differential equation D(D? + 1)y(t) = Df(t). a. Find the characteristic polynomial, characteristic equation, characteristic root(s), and characteristic mode(s) of this system. b. Is this system asymptotically stable, marginally stable, or unstable? Justify your answer.
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).
4: An LTIC system is specified by the impulse response h() 3sin(rt) shown in Fig. 2. Find the zero state sponse for the input a) xt)-2ut) b)x) 8(-1) h(t) 3sin(t) 1/2 1 Fig. 2
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