baed on my knowledge I m did this
First 3 are correct I m little bit doubt about last one
Please try to understand
please solve it 10.19. (a) Find the responses for systems described by the following difference equations...
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]
2.38. Draw block diagram representations for causal LTI systems described by the fol- lowing difference equations: (b) y[n] y[n-1] + x[n-1] 2.39. Draw block diagram representations for causal LTI systems described by the fol- lowing differential equations: (a) yt)--G)dy(t)/dt +4x() (b) dy(t)/dt+3y(t) = x(t)
part b please 1. (15 Points Each) Find the solution to the given differential equations satisfying the initial conditions using the method of undetermined coefficients. 1'(0) = 6 (a) (Problem 3.7.28) y" + 3y + 2y = 20 cos 2. y(0) = -1 (b) y" - V - 2y = 4e3+ +6 (0)=0 7(0) = 1
1.7-1 For the systems described by the equations below, with the input f(t) and output v(t), determine which of the systems are linear and which are nonlinear. dy dt (a) + 2y(t)-f(t) (b) +3y() -se) (e) ( ) +2y(t)-f(t) (d) +92(t) = f(t) (c) 3y(t) + 2 = f(t) (f) + (sin t)y(t)-2 + 2/(t) dt dt (h) v(t)f(r)dr dt
Please show full Calculations for part C) 1. Consider the following causal LTI systems with difference equations (a) yIn]+3 y[n-1]+2y[n-2] - x[n] + 2xln-1] (b) y[n] +0.8 y[n-21 x[n-1]. (c) y[n] -0.5 yln-2 2x[n] -xln-21]. In each of cases a,b and c i) Find and sketch the impulse response, hin) by recursive solution. ii) Is the system FIR or IIR ? ii) Find and sketch the corresponding step response, s[n] iv) Draw the direct form & direct-form Il structures for...
(20 pts.) Determine the response of the system described by the difference equation 7. 1 1 y(n) yn 1)n2)x(n) n for input signal x(n) = (;) u(n) under the following initial conditions y(-1) 1, y-2) 0.5 (20 pts.) Determine the response of the system described by the difference equation 7. 1 1 y(n) yn 1)n2)x(n) n for input signal x(n) = (;) u(n) under the following initial conditions y(-1) 1, y-2) 0.5
non-homo 2nd order linear equations 1. Find the general solution for each of the following differential equations (10 points each): (a) (b) (e) y" – 2y! - 3y = 3e2x y" — y' – 2y = -2.3 + 4.2? y" + y’ – 67 = 1234 + 12e-2x y" – 2y' – 3y = 3.ce-1 y" + 2y' + y = 2e- (Hint: you'll use Rule 7. at least once) (e 2. Find the solution to the following differential equation...
For linear algebra Exercise 2.4.3 In each case, solve the systems of equations by finding the inverse of the coefficient matrix. a. 2x+2y=1 2x-3y-0 b. c, x+ y+ z= 0 d. 2x+3y + 3z =-1
Question # 3 Two systems are defined by the following difference equations, for each system find the impulse response, determine whether the filter is FIR or IR and draw the block diagram of each system. a) y(n)x(n) + 0.5x(n 1) 0.8x(n - 2) b) y(n)- x(n) + 0.5y(n -1)
OTI Math 4173: HW #0-04 NAME: Solve the following systems of differential equations by Laplace Transform methods: (0) = y(0) = 2. Sy+x' = 0 ly - 2.0 - 2y = 0,