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Determine the singular and ordinary points of the given differential equations. Classify each singular point as regular or irregular. a) x*(r? – 25)(x – 2)^y" + 3x(x − 2)y' +7(x +5)y = 0 P R b) (x² + x − 6)y″ + (x + 3)y' + (x − 2)y = 0 c) (x3 – 2x2 +3x)y" + x(x − 3)2y' − (x+1)y= 0

Determine the singular and ordinary points of the given differential equations. Classify each singular point as regular or irregular. a) x*(r? – 25)(x – 2)^y" + 3x(x − 2)y' +7(x +5)y = 0 P R b) (x² + x − 6)y″ + (x + 3)y' + (x − 2)y = 0 c) (x3 – 2x2 +3x)y" + x(x − 3)2y' − (x+1)y= 0

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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Determine the singular and ordinary points of the given differential equations. Classify each singular point as regular or irregular. a) x*(r? – 25)(x – 2)^y" +3x(x − 2)y' +7(x+5)y= 0 P Q b) (x² + x − 6)y" + (x+3)y' + (x − 2)y = 0 c) (r* −2x2 +3x)y" +x(x − 3)?y' − (x+1)y= 0
Transcribed Image Text:Determine the singular and ordinary points of the given differential equations. Classify each singular point as regular or irregular. a) x*(r? – 25)(x – 2)^y" +3x(x − 2)y' +7(x+5)y= 0 P Q b) (x² + x − 6)y" + (x+3)y' + (x − 2)y = 0 c) (r* −2x2 +3x)y" +x(x − 3)?y' − (x+1)y= 0
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