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Solve the difference equation given below for the specified input signal and initial conditions. y[n] + 1.4 y[n-1] + 0.85 y[n-2] = x[n], x[n] = u[n], y[-1] = -2, y[-2] = 0 %3D

Solve the difference equation given below for the specified input signal and initial conditions. y[n] + 1.4 y[n-1] + 0.85 y[n-2] = x[n], x[n] = u[n], y[-1] = -2, y[-2] = 0 %3D

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**Question 2:** Solve the difference equation given below for the specified input signal and initial conditions. \[ y[n] + 1.4 \, y[n-1] + 0.85 \, y[n-2] = x[n], \; x[n] = u[n], \; y[-1] = -2, \; y[-2] = 0 \] The task is to find the solution to this second-order linear difference equation. The input signal \( x[n] \) is defined as the unit step function \( u[n] \), and the initial conditions for the output \( y[n] \) are given: \( y[-1] = -2 \) and \( y[-2] = 0 \).
Transcribed Image Text:**Question 2:** Solve the difference equation given below for the specified input signal and initial conditions. \[ y[n] + 1.4 \, y[n-1] + 0.85 \, y[n-2] = x[n], \; x[n] = u[n], \; y[-1] = -2, \; y[-2] = 0 \] The task is to find the solution to this second-order linear difference equation. The input signal \( x[n] \) is defined as the unit step function \( u[n] \), and the initial conditions for the output \( y[n] \) are given: \( y[-1] = -2 \) and \( y[-2] = 0 \).
You will need to submit **exactly one pdf** file. It should contain your answers, graphics, and MATLAB codes in a clear **sequence order**. *(Do not screenshot your codes, but copy and paste.)*
Transcribed Image Text:You will need to submit **exactly one pdf** file. It should contain your answers, graphics, and MATLAB codes in a clear **sequence order**. *(Do not screenshot your codes, but copy and paste.)*
Expert Solution
Step 1

Input signal x[n]=u[n],

Initial conditions are y[-1]=-2, y[-2]=0.

Difference equation y[n]+1.4y[n-1]+0.85y[n-2]=x[n] ...(1)

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