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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" - / + (x + })°y = In (} + 2) y (-}) = 1, v (-}) = 0 in order to obtain the solution by power series solution method? A) E 1)" (x – })" (-1)"+1 (x)" В) (-1)"+1 (2x + 1)" n n! n n=0 n=1 n=0 (-1)"-1 (x+ })" (-1)" x" D) Σ E ) Σ n=12"(n + 1) n n=1

1. Which of the following power series must be used as the nonhomogeneous part for the given initial value problem y" - / + (x + })°y = In (} + 2) y (-}) = 1, v (-}) = 0 in order to obtain the solution by power series solution method? A) E 1)" (x – })" (-1)"+1 (x)" В) (-1)"+1 (2x + 1)" n n! n n=0 n=1 n=0 (-1)"-1 (x+ })" (-1)" x" D) Σ E ) Σ n=12"(n + 1) n n=1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 + )² y = In (3 + x) y (-}) = 1, 3' (-}) = 0 in order to obtain the solution by power series solution method? (-1)까1 (2x + 1)" C) E (-1)*+1 (x)" A) (-1)" (x – })" B) Σ n n! n=0 n=1 n=0 (-1)"-' (x+ })" D) 2 (-1)" x" E) 2" (n + 1) 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 y" – y + (x + )² y = In (3 + x) y (-}) = 1, 3' (-}) = 0 in order to obtain the solution by power series solution method? (-1)까1 (2x + 1)" C) E (-1)*+1 (x)" A) (-1)" (x – })" B) Σ n n! n=0 n=1 n=0 (-1)"-' (x+ })" D) 2 (-1)" x" E) 2" (n + 1) n=1 n=1
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