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Suppose you want to type sequences of vowels (that is, the letters a, e, i, o and u). However, the e key on your keyboard is defective and every time you press it, it outputs ee instead of just e. Let y the number of sequences of length n you can type in this way. (i) Find yo, Y1, Y2. (ii) Write a second-order difference equation for the value of yn. iii) Solve the difference equation.

Suppose you want to type sequences of vowels (that is, the letters a, e, i, o and u). However, the e key on your keyboard is defective and every time you press it, it outputs ee instead of just e. Let y the number of sequences of length n you can type in this way. (i) Find yo, Y1, Y2. (ii) Write a second-order difference equation for the value of yn. iii) Solve the difference equation.

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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Suppose you want to type sequences of vowels (that is, the letters a, e, i, o and u). However, the e key on your keyboard is defective and every time you press it, it outputs ee instead of just e. Let yn the number of sequences of length n you can type in this way. (i) Find yo, Y1, V2. (ii) Write a second-order difference equation for the value of yn. (iii) Solve the difference equation.
Transcribed Image Text:Suppose you want to type sequences of vowels (that is, the letters a, e, i, o and u). However, the e key on your keyboard is defective and every time you press it, it outputs ee instead of just e. Let yn the number of sequences of length n you can type in this way. (i) Find yo, Y1, V2. (ii) Write a second-order difference equation for the value of yn. (iii) Solve the difference equation.
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