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v An Euler's equation can be solved using ordinary power series method. v In the equation 3xy" + y' - y = 0, x = 0 is an irregular singular point. v A singular point x = 0 of a differential equation can have a power series solution if it is a regular singular point.

v An Euler's equation can be solved using ordinary power series method. v In the equation 3xy" + y' - y = 0, x = 0 is an irregular singular point. v A singular point x = 0 of a differential equation can have a power series solution if it 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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1. Select true if the statement is true and select false if otherwise. An Euler's equation can be solved using ordinary power series method. v In the equation 3xy" + y' - y = 0, x = 0 is an irregular singular point. v A singular point x = 0 of a differential equation can have a power series solution if it is a regular singular point.
Transcribed Image Text:1. Select true if the statement is true and select false if otherwise. An Euler's equation can be solved using ordinary power series method. v In the equation 3xy" + y' - y = 0, x = 0 is an irregular singular point. v A singular point x = 0 of a differential equation can have a power series solution if it is a regular singular point.
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