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Consider the following recurrence relation a subscript 0 equals space 1 comma space space a subscript n equals 5 a subscript n minus 1 end subscript plus 4 n 1-Write the characteristic polynomial of a subscript n 2-Find the roots of the polynomial you found in (1) 3-Write the general solution

Consider the following recurrence relation a subscript 0 equals space 1 comma space space a subscript n equals 5 a subscript n minus 1 end subscript plus 4 n 1-Write the characteristic polynomial of a subscript n 2-Find the roots of the polynomial you found in (1) 3-Write the general solution

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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Consider the following recurrence relation a subscript 0 equals space 1 comma space space a subscript n equals 5 a subscript n minus 1 end subscript plus 4 n 1-Write the characteristic polynomial of a subscript n 2-Find the roots of the polynomial you found in (1) 3-Write the general solution 4-Find the constants of the general solution you found in (3) using Methods #1 (from the Boundary Conditions).
Transcribed Image Text:Consider the following recurrence relation a subscript 0 equals space 1 comma space space a subscript n equals 5 a subscript n minus 1 end subscript plus 4 n 1-Write the characteristic polynomial of a subscript n 2-Find the roots of the polynomial you found in (1) 3-Write the general solution 4-Find the constants of the general solution you found in (3) using Methods #1 (from the Boundary Conditions).
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