Show that x = 0 is a regular singular point for the following equation: *y"+ (x² + +) v = 0. Find one series solution for this equation explicitly, and state the form (without finding all the constants) of a second series solution.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Show that x = 0 is a regular singular point for the following equation:
x²y" + ( x² +
v =o.
Find one series solution for this equation explicitly, and state the form (without
finding all the constants) of a second series solution.
Transcribed Image Text:Show that x = 0 is a regular singular point for the following equation: x²y" + ( x² + v =o. Find one series solution for this equation explicitly, and state the form (without finding all the constants) of a second series solution.
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