Find the particular solution of the difference equation Yk+2 +6k+1 +4yk =0 that satisfies the boundary conditions y₁ = 6000 and YN = 0. (The answer involves N.) The particular solution is yk=.
Find the particular solution of the difference equation Yk+2 +6k+1 +4yk =0 that satisfies the boundary conditions y₁ = 6000 and YN = 0. (The answer involves N.) The particular solution is yk=.
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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![**Problem Statement:**
Find the particular solution of the difference equation:
\[ y_{k+2} + 6y_{k+1} + 4y_k = 0 \]
that satisfies the boundary conditions \( y_1 = 6000 \) and \( y_N = 0 \). (The answer involves \( N \).)
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**Solution:**
The particular solution is \( y_k = \) \(\boxed{\text{______}}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe763e4e-f795-40b2-8fd9-57a3e5a9095e%2Ff9637070-fc2c-4cae-93fd-abae57d44b57%2Fas3oaw9_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the particular solution of the difference equation:
\[ y_{k+2} + 6y_{k+1} + 4y_k = 0 \]
that satisfies the boundary conditions \( y_1 = 6000 \) and \( y_N = 0 \). (The answer involves \( N \).)
---
**Solution:**
The particular solution is \( y_k = \) \(\boxed{\text{______}}\).
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