Which of the following power series must be used as the nonhomogeneous part for the given initial value problem - 4 + (z + 4)°y = In (4 + 2) { y (-}) = 1, y' (-4) = 0 in order to obtain the solution by power series solution method?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following power series must be used as the nonhomogeneous part for the given initial value
problem
y" -y + (z+ ¥)"y = In ( + 피)
y (-) = 1, y (-}) = 0
in order to obtain the solution by power series solution method?
A) -1)" (z – 4)"
B) -1)* (2)m
(-1)"+1 (2r + 1)"
0
n!
D) E1)"- (r+ 4)"
(-1)" "
E) >
2" (n + 1)
n=1
Transcribed Image Text:Which of the following power series must be used as the nonhomogeneous part for the given initial value problem y" -y + (z+ ¥)"y = In ( + 피) y (-) = 1, y (-}) = 0 in order to obtain the solution by power series solution method? A) -1)" (z – 4)" B) -1)* (2)m (-1)"+1 (2r + 1)" 0 n! D) E1)"- (r+ 4)" (-1)" " E) > 2" (n + 1) n=1
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