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Q11) Let T₁ = 0, 7₂ = 3 be the roots of the indicial equation at x = 0 of the D.E. xy" - 2y + y = 0. If y₁ is the solution corresponding to r = 3, then a second linearly independent solution can be written as y2 = (A) y₁ ln x + Σn=1 anx-3 (B) cy₁ ln x +Enzo anan-3, c is constant (C) y₁ ln x +Σn=1 anx (D) cy₁ ln x +Enzo anx", c is constant (E) cy₁ lnx + Σn=0 anx+3, c is constant

Q11) Let T₁ = 0, 7₂ = 3 be the roots of the indicial equation at x = 0 of the D.E. xy" - 2y + y = 0. If y₁ is the solution corresponding to r = 3, then a second linearly independent solution can be written as y2 = (A) y₁ ln x + Σn=1 anx-3 (B) cy₁ ln x +Enzo anan-3, c is constant (C) y₁ ln x +Σn=1 anx (D) cy₁ ln x +Enzo anx", c is constant (E) cy₁ lnx + Σn=0 anx+3, c is constant

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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Q11) Let T₁ = 0, 7₂ = 3 be the roots of the indicial equation at x = 0 of the D.E. xy" - 2y + y = 0. If y₁ is the solution corresponding to r = 3, then a second linearly independent solution can be written as y2 = (A) y₁ ln x + Σn=1 anx-3 (B) cy₁ ln x +Enzo anan-3, c is constant (C) y₁ ln x +Σn=1 anx (D) cy₁ ln x +Enzo anx", c is constant (E) cy₁ lnx + Σn=0 anx+3, c is constant
Transcribed Image Text:Q11) Let T₁ = 0, 7₂ = 3 be the roots of the indicial equation at x = 0 of the D.E. xy" - 2y + y = 0. If y₁ is the solution corresponding to r = 3, then a second linearly independent solution can be written as y2 = (A) y₁ ln x + Σn=1 anx-3 (B) cy₁ ln x +Enzo anan-3, c is constant (C) y₁ ln x +Σn=1 anx (D) cy₁ ln x +Enzo anx", c is constant (E) cy₁ lnx + Σn=0 anx+3, c is constant
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