Consider the differential equation (1-z)y"+ (1-1)y' + 5y 0. Which of the following statements is true for the given equation? O a. = 1 and =-1 are regular and irregular singular points, respectively. O b. I = 1 and a =-l are irregular and regular singular points, respectively. O c. I=1 and a =-l are both irregular singular points. O d. I 1 and a -1 are both regular singular points.
Consider the differential equation (1-z)y"+ (1-1)y' + 5y 0. Which of the following statements is true for the given equation? O a. = 1 and =-1 are regular and irregular singular points, respectively. O b. I = 1 and a =-l are irregular and regular singular points, respectively. O c. I=1 and a =-l are both irregular singular points. O d. I 1 and a -1 are both regular singular points.
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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Transcribed Image Text:Consider the differential equation
(1 – 2²)²y" + (1– r)y' + 5y = 0.
Which of the following statements is true for the given equation?
a.
D=1 and a=-l are regular and irregular singular points, respectively.
O b. r land a =-l are irregular and regular singular points, respectively.
O c. z= 1 and a -1 are both irregular singular points.
O d. z=1 and a-1 are both regular singular points.
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