For the differential equation (x2 - 4)y" + (x- 2)y' + 2y = 0, a regular singular point is: %3D None of them X=4 x-3 x=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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For the differential equation (x2-4)y" + (x-2)y' + 2y 0, a regular singular
point is:
None of them
X=4
X-3
x=2
Find a series solution about the ordinary point 0 of the differential equation
y" +8xy'-4y = 0
O y=c_0 (1+2x^2-2x^4+.…)+c_1 (x^2-(2/3)x^5+..)
y=c_0 (1+2x^3-2x^5+.)+c_1 (x-(2/3)x^3+)
None of them
O y=c_0 (1+2x^2-2x^4+.)+c_1 (x-(2/3)x^3+..)
Transcribed Image Text:For the differential equation (x2-4)y" + (x-2)y' + 2y 0, a regular singular point is: None of them X=4 X-3 x=2 Find a series solution about the ordinary point 0 of the differential equation y" +8xy'-4y = 0 O y=c_0 (1+2x^2-2x^4+.…)+c_1 (x^2-(2/3)x^5+..) y=c_0 (1+2x^3-2x^5+.)+c_1 (x-(2/3)x^3+) None of them O y=c_0 (1+2x^2-2x^4+.)+c_1 (x-(2/3)x^3+..)
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