4- Find unit impulse response for: y(t) + 4у(t) + 3y(t)-x(t) + 5x(t) 5- Find the...
for a discrete system, answer the following 5- Find the total response for: y(n 2) +13y(n +1) + 22y(n)-x(n + 1) + 5x(n) x(n)- (0.2)nu(n) With the initial condition y(-1) - 0 and y(-2) 3 Identify the natural and forced response of the system. 6- Find the total response for: y(n 2) + 3y(n + 1) + 2y(n)- x(n + 2) +3x(n +1) + 3x(n) With the initial condition y(-1) -1 and y(-2) 2 Identify the natural and forced response...
5- For the following system: x( Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F, C2-1F. Identify the natural and forced response of the system a) Find the zero input response. b) Unit impulse response. c) zero state response. d) The total response. e Identify the natural and forced response of the system. 5- For the following system: x( Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F,...
5. Find the unit impulse response of a system specified by the equation (D2 5D 6)y(t) (D2 7D 11)x(t)
Find f (x,y). f(x,y)= e - 4x + 3y A. fx(x,y)= -4 e - 4x OB. {x(x,y)= - 4 € -4x+3y OC. fx(x,y) = e -4x+3 OD. fx(x,y) = 3 e - 4x+3y
Find fx (x,y). f(x,y)= e - 4x + 3y O A. fx(x,y)= -4 e - 4x OB. fx(x,y) = -4 e - 4x + 3y O C. &x(x,y)= e = 4x+3 OD. &x(x,y)=3 € -4x+3y
(e) Consider an LTI system with impulse response h(t) = π8ǐnc(2(t-1). i. (5 pts) Find the frequency response H(jw). Hint: Use the FT properties and pairs tables. ii. (5 pts) Find the output y(t) when the input is (tsin(t) by using the Fourier Transform method. 3. Fourier Transforms: LTI Systems Described by LCCDE (35 pts) (a) Consider a causal (meaning zero initial conditions) LTI system represented by its input-output relationship in the form of a differential equation:-p +3讐+ 2y(t)--r(t). i....
6. Find h[k], the unit impulse response of the systems described by the following equations: a) y[k] + 3y[k – 1] + 2y[k – 2] = f[k] +3f[k – 1] +3f[k – 2] b) yk + 2 + 2y k + 1] + yſk] =2fk + 2] – fk + 1] c) y[k] - yſk – 1] + 0.5y[k – 2] = f[k] + 2f[k – 1]
Use the elimination method to find a general solution. x(t), y(t) for the given system. · = x + 2y dy = -4x - 3y dt
Consider the vector field F(x, y, z) = 8x^2 + 3y, −5x^2y − 4y^2, 6x^2 + 7y − 8 which is defined on all of double-struck R3, and let F be the rectangular solid region F = {(x, y, z) | 0 ≤ x ≤ a, 0 ≤ y ≤ b, −1 ≤ z ≤ 1} where a > 0 and b > 0 are constants. Determine the values of a and b that will make the flux of F...
The input-output relationship for a system is ¨y(t) + ˙y(t) = x(t). (a) Find the impulse response of the system. (b) Find the zero-state response when the input is a unit step. (c) Find the zero-state response when the input is x(t) = 1.6u(t) − 0.6u(t − 1).