following differential equations has a point near x = 1 as an irregular singular =y" - 2 (x² + 4x - 5) y' + 8 xy = 0 y" - 2x (x + 4) y' + 8(x - 1) y = 0 =-3)² y" - 2(x-4) y' + 8 xy = 0 c − 3) y″ − 2(x + 3)³ (x − 4) y = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the following differential equations has a point near x = 1 as an irregular singular
point?
x²(x - 1)² y" - 2 (x² + 4x - 5) y' +8 xy = 0
x3 (x − 1) y” − 2x(x+4)y’ +8(x − 1)y = 0
x(x + 2x − 3) y" −2(x−4)y’ +8xy = 0
x (x + 2x − 3) y” − 2(x + 3) (x − 4) y = 0
Transcribed Image Text:Which of the following differential equations has a point near x = 1 as an irregular singular point? x²(x - 1)² y" - 2 (x² + 4x - 5) y' +8 xy = 0 x3 (x − 1) y” − 2x(x+4)y’ +8(x − 1)y = 0 x(x + 2x − 3) y" −2(x−4)y’ +8xy = 0 x (x + 2x − 3) y” − 2(x + 3) (x − 4) y = 0
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