Let ri =-2, r2 = 0 be the roots of the indicial equation at æo = 0 of the D.E. ay" +3y - 3y = 0. If y is the solution corresponding to r = 0, then a %3D second linearly independent solution can be writ- ten as y2 = !!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let ri =-2, r2 0 be the roots of the indicial
equation at æo = 0 of the D.E. cy"+ 3y'-3y 0.
If y1 is the solution corresponding to r = 0, then a
second linearly independent solution can be writ-
ten as y2 =
(A) cyi ln a+ En=o anx"+1, c is constant
(B) cy ln x +En=o anx"-²,, c is constant
(C) yı ln x +En=1anx"
(D) cy In a +En-0 anx", c is constant
(E) yı In a +En=1 anx"-2,
Transcribed Image Text:Let ri =-2, r2 0 be the roots of the indicial equation at æo = 0 of the D.E. cy"+ 3y'-3y 0. If y1 is the solution corresponding to r = 0, then a second linearly independent solution can be writ- ten as y2 = (A) cyi ln a+ En=o anx"+1, c is constant (B) cy ln x +En=o anx"-²,, c is constant (C) yı ln x +En=1anx" (D) cy In a +En-0 anx", c is constant (E) yı In a +En=1 anx"-2,
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