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T S(x)y" + P(x)y' + Q(x)y = 0. (1) (1 - x²)2 d²y dy - (x − 1)- dx2 + (x + 1)y = 0, (2) dx Justify the statement: If equation (1) has a solution yı = = xn, n ≥ 2, then the point x = 0 is singular. In other words, x = 0 cannot be an ordinary point of the equation.

T S(x)y" + P(x)y' + Q(x)y = 0. (1) (1 - x²)2 d²y dy - (x − 1)- dx2 + (x + 1)y = 0, (2) dx Justify the statement: If equation (1) has a solution yı = = xn, n ≥ 2, then the point x = 0 is singular. In other words, x = 0 cannot be an ordinary point of the equation.

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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T S(x)y" + P(x)y' + Q(x)y = 0. (1) (1 - x²)2 d²y dy - (x − 1)- dx2 + (x + 1)y = 0, (2) dx Justify the statement: If equation (1) has a solution yı = = xn, n ≥ 2, then the point x = 0 is singular. In other words, x = 0 cannot be an ordinary point of the equation.
Transcribed Image Text:T S(x)y" + P(x)y' + Q(x)y = 0. (1) (1 - x²)2 d²y dy - (x − 1)- dx2 + (x + 1)y = 0, (2) dx Justify the statement: If equation (1) has a solution yı = = xn, n ≥ 2, then the point x = 0 is singular. In other words, x = 0 cannot be an ordinary point of the equation.
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