Solve the difference equation
y(n + 2) + 4y(n + 1) +3y(n) = 3n with y(0) =0, y(1) = 1
Solve the difference equation y(n + 2) + 4y(n + 1) +3y(n) = 3n with y(0) =0, y(1) = 1
Given the differential equation y" – 4y' + 3y = - 2 sin(2t), y(0) = -1, y'(0) = 2 Apply the Laplace Transform and solve for Y(8) = L{y} Y(S) -
1: (a) Determine the general solution of the difference equation y[n] = 3y[n - 1] + 4y[n - 2] + x[n] + 2x[n – 1]
The difference equation y(n+2) -3y(n+1)+2y(n) = 1 for n 20 has initial conditions y(0)= -1 and y(1) 1 1. Find the value of y(3) using iteration. (a) Find the particular solution of y(n) (b) Find Y(z). (It should only be expressed as the ratio of two polynomials) (c) The difference equation y(n+2) -3y(n+1)+2y(n) = 1 for n 20 has initial conditions y(0)= -1 and y(1) 1 1. Find the value of y(3) using iteration. (a) Find the particular solution of...
(8a) Solve the ODE y" - 3y' = 4y (86) Solve the ODE y" - 3y' = 4y + 3 (9a) Solve the ODE" = - 4y (9b) Solve the ODE y" = -4y - 8x
Solve: y' – 4y' + 3y = 9t – 3 y(0) = 3, y'(0) = 13 y(t) = Preview
15. (8 points) Solve the initial value problem y" + 4y' + 3y-хез®, y(0) 1, y'(0) 0
Problem 1: Solve the initial value problems: a 2y" – 3y' +y=0 y(0) = 2, 7(0) = 1 by' + y - 6y = 0 y(0) = -1, y'(0) = 2 cy' + 4y + 3y = 0 y(0) = 1, y'(0) = 0 Problem 2: Solve the initial value problems: a y' +9y = 0 y(0) = 1. 1'(0) = -1 by" - 4y + 13y = 0 y(0) = 1, y'(0) = 3 cy" + ly + ly...
Solve the following initial-value problem. y" + 3y + 4y = 282(t) - 385(t) y(0) = 1, y'(0) = -2
Consider the difference equation y n]-(a+2) yln - 1] +2ayln - 2] = 3n] +6ax[n - 2] where a0,2 is some real constant 1. (10pt) Find the homogenous (=complementary) solution(s) to the equation 2. (10pt) Find the impulse response of the LTI system described by the equation 3. (5pt) For which values of a (if any) is the system stable?
Solve the initial-value problem. a) y', _ y'-12y = 0, y(0) = 3, y'(0) = 5 b) y"-4y'+3y 9x2 +4, y(0)-6, y(0) 8 Solve the initial-value problem. a) y', _ y'-12y = 0, y(0) = 3, y'(0) = 5 b) y"-4y'+3y 9x2 +4, y(0)-6, y(0) 8