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(e) xy" - xy +y = 0, x = 0 is a regular singular point.

(e) xy" - xy +y = 0, x = 0 is a regular singular point.

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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(e) xy" – xy' +y = 0, x = 0 is a regular singular point.
Transcribed Image Text:(e) xy" – xy' +y = 0, x = 0 is a regular singular point.
For each of the following differential equations the nature of x = 0 has been provided. Find a series solution for each problem as our methods from chapter 6 allow. If you can get 2 independent solutions, please state the general solution (organized as y = Ay, + Byz ), If only one independent solution is found say so and do not state the general solution. Just provide the solution you are able to find. If chapter 6 does not apply, just state that our methods do not apply and do not solve the problem. %3D
Transcribed Image Text:For each of the following differential equations the nature of x = 0 has been provided. Find a series solution for each problem as our methods from chapter 6 allow. If you can get 2 independent solutions, please state the general solution (organized as y = Ay, + Byz ), If only one independent solution is found say so and do not state the general solution. Just provide the solution you are able to find. If chapter 6 does not apply, just state that our methods do not apply and do not solve the problem. %3D
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