(a) (r – 2)(x – 3)y" + xy' + x4 | = 0 (x – 3)2

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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Differential Equation.(a)
x4
= 0
(г — 3)2
(a) (x – 2)(x – 3)y" + xy' +
(b) (x+ 1)(x – 2)y/" + xy' +
x²
= 0
(x + 1)²
x4
= 0
(x + 3)²
(c) (x – 2)(x – 3)y" + æy' +
x2
(d) (x+ 1)(x – 2)y/" + xy' +
(х —
= 0
1)2
Find and classify the singular points of the differential equation as regular or irregular. (04 marks)
Transcribed Image Text:x4 = 0 (г — 3)2 (a) (x – 2)(x – 3)y" + xy' + (b) (x+ 1)(x – 2)y/" + xy' + x² = 0 (x + 1)² x4 = 0 (x + 3)² (c) (x – 2)(x – 3)y" + æy' + x2 (d) (x+ 1)(x – 2)y/" + xy' + (х — = 0 1)2 Find and classify the singular points of the differential equation as regular or irregular. (04 marks)
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