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 – })" A) Σ B) -1)*+1 (x)" (-1)"+1 (2x + 1)" n! n=0 n=1 n=0 D) F-1)"-' (r + )" (-1)" x" E) 2" (n + 1) n=1 n=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 – })" A) Σ B) -1)+1 (x)" (-1)"+1 (2x + 1)" n! n=0 n=1 n=0 D) F-1)"-' (r + )" (-1)" x" E) 2" (n + 1) n=1 n=1

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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Q 19.
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