QUESTION 2 Consider the following: ak = 2 ak-1+3ak-2 ao = 1,a1=2 Suppose a sequence of the form 1, x, x2, x3.....x". ... where X + O satisfies the given recurrence relation. Find all possible values of X. In other words solve the characteristic polynomial for X . Enter your answers in a comma separated list: Using the initial conditions and the values of X above, you can write the general solution as an= ar" + br, where r and r, are the answers to the first part of this question. What are the values of a and b?
QUESTION 2 Consider the following: ak = 2 ak-1+3ak-2 ao = 1,a1=2 Suppose a sequence of the form 1, x, x2, x3.....x". ... where X + O satisfies the given recurrence relation. Find all possible values of X. In other words solve the characteristic polynomial for X . Enter your answers in a comma separated list: Using the initial conditions and the values of X above, you can write the general solution as an= ar" + br, where r and r, are the answers to the first part of this question. What are the values of a and b?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![QUESTION 2
Consider the following:
ak = 2 ak-1+3ak-2
ao = 1,a1=2
Suppose a sequence of the form 1, x, x2, x3.....x".
... where X + O satisfies the given recurrence relation. Find all possible values of X. In other words solve the characteristic polynomial for X
. Enter your answers in a comma separated list:
Using the initial conditions and the values of X above, you can write the general solution as an= ar" + br, where r and r, are the answers to the first part of this question. What are the values
of a and b?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa50218e1-9020-47a4-b189-6a79dd77425b%2Fdabd3f7a-eb05-4795-b8a3-4cc70114143e%2Fk7n4frt.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 2
Consider the following:
ak = 2 ak-1+3ak-2
ao = 1,a1=2
Suppose a sequence of the form 1, x, x2, x3.....x".
... where X + O satisfies the given recurrence relation. Find all possible values of X. In other words solve the characteristic polynomial for X
. Enter your answers in a comma separated list:
Using the initial conditions and the values of X above, you can write the general solution as an= ar" + br, where r and r, are the answers to the first part of this question. What are the values
of a and b?
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