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10. By the method of generating function, solve the following recurrence relation an +an-1-16an-2 +20an-3 0 with ao =1, aj =1 and a, =-1.

10. By the method of generating function, solve the following recurrence relation an +an-1-16an-2 +20an-3 0 with ao =1, aj =1 and a, =-1.

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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10. By the method of generating function, solve the following recurrence relation an +an-1-16an-2+20an-3 0 with ao =1, aj =1 and a, = -1. 11. Let {a,} be a sequence satisfying an = an-1 – 6an–2 for n2 2, with a0 =1 andaj =5. Find the generating function and the explicit formula fora,„.
Transcribed Image Text:10. By the method of generating function, solve the following recurrence relation an +an-1-16an-2+20an-3 0 with ao =1, aj =1 and a, = -1. 11. Let {a,} be a sequence satisfying an = an-1 – 6an–2 for n2 2, with a0 =1 andaj =5. Find the generating function and the explicit formula fora,„.
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