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Put the given differential equation into form (3) in Section 6.3 (x – x,)?y" + (x – x,)p(x)y' + q(x)y = 0 (3) %D for each regular singular point of the equation. Identify the functions p(x) and q(x) (x² – 1)y" + 3(x + 1)y' + (x² – x)y = 0 x(x – 1)² (p(x), q(x)) 3, (smaller x,-value) - x +1 x(x– 1)² (Р(x), q(x)) 3, (larger x,-value) = x +1

Put the given differential equation into form (3) in Section 6.3 (x – x,)?y" + (x – x,)p(x)y' + q(x)y = 0 (3) %D for each regular singular point of the equation. Identify the functions p(x) and q(x) (x² – 1)y" + 3(x + 1)y' + (x² – x)y = 0 x(x – 1)² (p(x), q(x)) 3, (smaller x,-value) - x +1 x(x– 1)² (Р(x), q(x)) 3, (larger x,-value) = x +1

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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Put the given differential equation into form (3) in Section 6.3 (x - x,)?y" + (x - x)P(x)y' + q(x)y (3) = 0 for each regular singular point of the equation. Identify the functions p(x) and q(x). (x² – 1)y" + 3(x + 1)y' + (x² – x)y = 0 - x(x – 1)² (Р(x), q(x)) - 3, - (smaller x,-value) x +1 x(x –1)? (p(x), q(x)) 3, (larger x,-value) x +1
Transcribed Image Text:Put the given differential equation into form (3) in Section 6.3 (x - x,)?y" + (x - x)P(x)y' + q(x)y (3) = 0 for each regular singular point of the equation. Identify the functions p(x) and q(x). (x² – 1)y" + 3(x + 1)y' + (x² – x)y = 0 - x(x – 1)² (Р(x), q(x)) - 3, - (smaller x,-value) x +1 x(x –1)? (p(x), q(x)) 3, (larger x,-value) x +1
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