Question: Find the solution of the following difference equation: 2yn+2 + yn+1 6yn = 5 3 n where y0 = 0, y1 = 1.

Find the solution of the following difference equation:

2yn+2 + yn+1 − 6yn = 5 × 3 n where y0 = 0, y1 = 1.

Step by Step Solution

★★★★★

3.38 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

2E 6 Y 15m Auxiliary quation 26 6 0 2E24E3E60 2E E2 3 E2 0 E2 23 0 2 E 2 complementary ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Q:

(a) Determine the first five values generated by the difference equation, and (b) Find the solution of the difference equation. 1. yn = yn-1 + 5, y0 = 1 2. yn = yn-1 - 2, y0 = 50 3. yn = .4yn-1 + 3,...

Q:

1. Suppose that 10 years ago you purchased a car at $27,000 and the car was traded in today for $1,000. What is the depreciation rate? Suppose that the car is continuously discounting its value....

Q:

Find the solution of each of the following systems of linear equations using augmented matrices. (a) x - 3y = 1 2x - 7y = 3 (b) x + 2y =1 3x + 4y = -1 (c) 2x + 3y = -1 3x + 4y = 2 (d) 3x + 4y = 1 4x...

Q:

Given the difference equation y(k+ 2) / v(k + 1) + v(k) = e(k) where y(0) = y(1) = 0, e(0) = 0, and e(k) = 1, k = 1, 2,... . (a) Solve for y(k) as a function of k, and give the numerical values of...

Q:

Consider a second-order discrete-time system represented by the following difference equation: y[n] 2r cos( 0 ) y[n 1] + r 2 y[n 2] = x[n] n 0 where r > 0 and 0 0 2, y[n] is the output and...

Q:

1. (a) Let A = [ 0 Find all 2x2 matrices B which satisfy the relation AB = BA. (b) Use row reduction and back-substitution to solve the following system of equa- tions: 1 -3 1 2x+y+z x + 2y + z 2x +...

Q:

Find the mean for the following set of scores: 2, 7, 9, 4, 5, 3, 0, 6 f 6 5 4 3 2 1 0 1 2 3 4 50 6 7 8 9 10 X

Q:

A certain system is defined by the following difference equation: y(n)+4y(n-1)+2y(n-2) = w(n) Find the solution to this system for n > 0 and w = 5.

Q:

Consider a stable linear time-invariant system with a real input x[n], a real impulse response h[n], and output y[n]. Assume that the input x[n] is white noise with zero mean and variance 2 x . The...

Q:

A discrete-time IIR system is represented by the following difference equation y[n] = 0.15y[n2]+x[n], n 0 where x[n] is the input and y[n] is the output. (a) To find the impulse response h[n] of the...

Q:

Consider a project, such as moving to a new neighborhood, completing a long-term school assignment, or even cleaning your bedroom. Develop a set of activities necessary to accomplish that project and...

Q:

Design a 8:1 multiplexer using 4:1 multiplexer and 2:1 multiplexer.

Q:

Solve the initial value problem y ' ' + y = 0 . 0 0 1 x 2 , y ( 0 ) = 0 , y ' ( 0 ) = 1 . 5 . Solve the initial value problem y ' ' + 3 y ' + 2 . 2 5 y = - 1 0 e - 1 . 5 x , y ( 0 ) = 1 , y ' ( 0 ) =...

Q:

Knowing that WB = 150 lb and WC = 50 lb, determine the magnitude of the force P required to maintain equilibrium. 18 ft- -12 t 12 t- D. 9 ft 15 ft B. We

Q:

Kobe Inc. manufactures basketballs for the National Basketball Association (NBA). For the first 6 months of 2013, the company reported the following operating results while operating at 90% of plant...

Q:

The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean = 3.2 minutes and a standard deviation = 1.6 minutes. If a random sample of 64 customers is...

Q:

A small research device is purchased for $10,000 and depreciated by MACRS depreciation . The net benefits from the device, before deducting depreciation , are $2000 at the end of the first year and...

Q:

You are considering the purchase, for $15,000, of an annuity that pays $2500 per year for the next 10 years. You want to have a real rate of return of 5%, and you estimate inflation will average 6%...

Q:

What's the answer? Question 7 4 Your need to set up a wireless router for a friend. He wants to be sure that his network is secure. Which wireless security method should you implement? OWEP O WPA NAT...

Q:

UNIVERISTY HELPP IN HERE NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2...

Q:

HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Find the volume of the solid that results from rotating the region bounded by y =...

Q:

CAN YOU HELPP ME WITH MY HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 +...

Q:

. Find the inverse matrix for the followings matrices using Gaussian elimination method [4 2 -1] i- A ii- B = 0 1 2 l2 3 7 Problem 2 Ahmad, Sari, and Radhi went to a market, and bought groceries from...

Q:

Find the definite solution for the following difference equation (5 marks) 5 yt+3 - 2yt+2 + = yt+1 - - 4 yt = 1 and yo = 0, y1 = 4, y2 = . Characterize the time path

Q:

,, solve the following please Write a general matlab program to calculate the THD value for a clipped sinewave signal Use for example (0.9 up clip /0.7 down clip) A Sim (wot) write a general matlab...