Find all Singular points of the given differential equation then classify as Irregular Singular Points ISP, or Regular Singular Points, RSP. (1-x²)y" + (x+1)y'+y=0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 10E
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Find all Singular points of the given differential equation then classify as Irregular Singular Points ISP,
or Regular Singular Points, RSP.
(1-x²)y" + (x + 1)y' + y = 0
Both x=-1 and x=1 are RSP
x=-1 Is ISP and x=1 is RSP
Both x=-1 and x=1 are ISP's
x=-1 is RSP and x=1 are ISP
Transcribed Image Text:Find all Singular points of the given differential equation then classify as Irregular Singular Points ISP, or Regular Singular Points, RSP. (1-x²)y" + (x + 1)y' + y = 0 Both x=-1 and x=1 are RSP x=-1 Is ISP and x=1 is RSP Both x=-1 and x=1 are ISP's x=-1 is RSP and x=1 are ISP
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ISBN:
9780321964038
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Publisher:
Pearson Addison Wesley,