Assume the solution to the differential equation that follows is the power series y = Σ an (x + 3)". y"+xy'+y= 0, y(-3) = 3, y'(-3) = 2. The first few terms of the series solution are: y = ao + a1(x + 3) + a2(x+3)² + α3(x+3) ³ + α4(x+3)+ where ао a1 a2 a3 a4 = = = = = n=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Assume the solution to the differential equation that follows is the power series y = Σ an (x + 3)".
y"+xy'+y= 0, y(-3) = 3, y'(-3) = 2.
The first few terms of the series solution are:
y = ao + a1(x + 3) + a2(x+3)² + α3(x+3) ³ + α4(x+3)+
where
ао
a1
a2
a3
a4
=
=
=
=
=
n=0
Transcribed Image Text:Assume the solution to the differential equation that follows is the power series y = Σ an (x + 3)". y"+xy'+y= 0, y(-3) = 3, y'(-3) = 2. The first few terms of the series solution are: y = ao + a1(x + 3) + a2(x+3)² + α3(x+3) ³ + α4(x+3)+ where ао a1 a2 a3 a4 = = = = = n=0
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