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(a) Assume the power series expansion of the solution about x = 0 is , ana" For each n 2 0, find the recurrence relation between a,,, an+1 and an42.

(a) Assume the power series expansion of the solution about x = 0 is , ana" For each n 2 0, find the recurrence relation between a,,, an+1 and an42.

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 differential equation y" + (x – 3)y – y = 0. Assume the power series expansion of the solution about = 0 is E, a,". (a) For each n > 0, find the recurrence relation between a,, an+1 and an+2- %3D (b) Assume y(0) = -1, y'(0) = 0, find the first four nonzero terms in Eo an".
Transcribed Image Text:Consider the following differential equation y" + (x – 3)y – y = 0. Assume the power series expansion of the solution about = 0 is E, a,". (a) For each n > 0, find the recurrence relation between a,, an+1 and an+2- %3D (b) Assume y(0) = -1, y'(0) = 0, find the first four nonzero terms in Eo an".
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