Use power series to find the general solution of the differential equation, state the recurrence relation, and also find the singular points. y" + 2y = 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve 1st equation only and give me complete soloution Reccurrenece relation and singular point also I need complete soloution if u solve half i will give you a thumb down solve completely and take a thumb up
Use power series to find the general solution of the differential equation, state the recur
currence
relation, and also find the singular points.
y" + 2y = 0
y" + 2y + y = 0
y" + 4y = 0
y(0) = 0, y'(0) = 3
x²y" - 2xy + 2y = 0
y" - xy + y = 0
(1 + x)y" - y = 0
(1-x²)y" - 4xy' + 6y = 0
Transcribed Image Text:Use power series to find the general solution of the differential equation, state the recur currence relation, and also find the singular points. y" + 2y = 0 y" + 2y + y = 0 y" + 4y = 0 y(0) = 0, y'(0) = 3 x²y" - 2xy + 2y = 0 y" - xy + y = 0 (1 + x)y" - y = 0 (1-x²)y" - 4xy' + 6y = 0
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