Answered: п+1 a1 = 0, An ап-1 + 3п + 3, n >1 n

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п+1 a1 = 0, An ап-1 + 3п + 3, n >1 n

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

Use the homogeneous/inhomogeneous techniques to find a solution to the following recurrence
relations. If no initial value(s) are given, then find only the general solution without finding the
constants.

n +
(e) Home Work. a1 = 0,
An =
• an-1 + 3n +3, n >1
%3D
n
Hint. Divide all terms by (n + 1) and find a suitable transformation in the form
bn = f(n) · an, where f(n) is a function of n, then substitute.

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