1. Which of the following power series must be used as the nonhomogeneous part for the given initial value problem y" – y' + (x + })° y = In (} + x) { y (-}) = 1, y' (-}) = 0 in order to obtain the solution by power series solution method? (-1)" (x – B) -1)"+' (x)n n! C) (-1)"+1 (2x + 1)" n=0 n=1 n n=0 (-1)"-' (x + })"| E) (-1)"x" ( 2"(n + 1) n=1 n=1 IM8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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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
y" – y' + (x + })° y = In (} + x)
{
y (-}) = 1, y' (-}) = 0
in order to obtain the solution by power series solution method?
A) LI
(-1)" (x – })"
B) -1)"+' (x)n
n!
(-1)"+1 (2x + 1)"
C)
n=0
n=0
(-1)"-' (x+ })"|
E) (-1)"x"
( 2"(n + 1)
n=1
n=1
IM8
Transcribed Image Text:1. Which of the following power series must be used as the nonhomogeneous part for the given initial value problem y" – y' + (x + })° y = In (} + x) { y (-}) = 1, y' (-}) = 0 in order to obtain the solution by power series solution method? A) LI (-1)" (x – })" B) -1)"+' (x)n n! (-1)"+1 (2x + 1)" C) n=0 n=0 (-1)"-' (x+ })"| E) (-1)"x" ( 2"(n + 1) n=1 n=1 IM8
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