An LTIC system is specified by the equation
(D2+9)y(t)=(3D+2)x(t)
y0(0^-)=6
a. 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
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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 equation of this system? e) What are the characteristic roots of this system? f Determine the zero-input response yo(t). Simplify your answer 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 equation of this system? e) What are the characteristic roots of this system? f Determine the...
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
(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)
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)...
A LTIC system is specified by the equation(D^2 + 5D + 6)y(t) = (D^2 + 7D + 11)x(t)Find the zero-input response of the response y(t) and the impulse response h(t) if the initial conditions are y(0) = 0 and y'(0) = 1.
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)...
1. (20 pts) An LTCI system is defined by the equation *0) + 1) + 4y0) = 10) (a) find the characteristic polynomial, characteristic function equation, characteristic root and characteristic modes of this system. (b) Find yo(t), the zero-input component of the responses y(t) for t > 0 with initial conditions yo(0) = 2 and y(0) = -1. 2. (20 pts) Repeat the previous problem if Vt) + 9y(t) = 351) + 2FE) and yo(0) = 0, Y%(0) = 6.
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...
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.
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