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Question 1 Given the following Linear Homogenous Recurrence, answer the questions below (after solving it on paper). f(n) = 2f(n-1) – f(n-2), where f(0)=2, f(1)=3 • What is the Characteristic equation for this (use ^ for power) : • What are roots: r1= r2= • What are the values of constants: c1= • What is the function f(n) using these values (use ^ for power) : f(n)= Finally, what is the complexity: f(n)= O( c2=

Question 1 Given the following Linear Homogenous Recurrence, answer the questions below (after solving it on paper). f(n) = 2f(n-1) – f(n-2), where f(0)=2, f(1)=3 • What is the Characteristic equation for this (use ^ for power) : • What are roots: r1= r2= • What are the values of constants: c1= • What is the function f(n) using these values (use ^ for power) : f(n)= Finally, what is the complexity: f(n)= O( c2=

Advanced Engineering Mathematics
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 1 Given the following Linear Homogenous Recurrence, answer the questions below (after solving it on paper). f(n) = 2f(n-1) – f(n-2), where f(0)=2, f(1)=3 • What is the Characteristic equation for this (use ^ for power) : • What are roots: r1= What are the values of constants: c1= r2= c2= • What is the function f(n) using these values (use ^ for power) : f(n)= • Finally, what is the complexity: f(n)= O
Transcribed Image Text:Question 1 Given the following Linear Homogenous Recurrence, answer the questions below (after solving it on paper). f(n) = 2f(n-1) – f(n-2), where f(0)=2, f(1)=3 • What is the Characteristic equation for this (use ^ for power) : • What are roots: r1= What are the values of constants: c1= r2= c2= • What is the function f(n) using these values (use ^ for power) : f(n)= • Finally, what is the complexity: f(n)= O
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