Which of the following power series must be used as the nonhomogeneous part for the given initial value problem y/" – yf + (x + })°y = In (} + #) y(-) = 1, y'(-) = 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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1. Which of the following power series must be used as the nonhomogeneous part for the given initial value
problem
"-+(a+ )°y = In (+2)
{
y(-) = 1, y/ (-4)-0
in order to obtain the solution by power series solution method?
(-1)"+ (x)"
(-1)"+1 (2.r + 1)"
n+1
A) -1)" (z – 4)"
C)
B)
n!
n=0
n=1
n=0
D) D (r + })"
E) E
(-1)" "
2" (n+1)
n=1
Transcribed Image Text:1. Which of the following power series must be used as the nonhomogeneous part for the given initial value problem "-+(a+ )°y = In (+2) { y(-) = 1, y/ (-4)-0 in order to obtain the solution by power series solution method? (-1)"+ (x)" (-1)"+1 (2.r + 1)" n+1 A) -1)" (z – 4)" C) B) n! n=0 n=1 n=0 D) D (r + })" E) E (-1)" " 2" (n+1) n=1
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