Given the following general solution 00 E (R + 1) + 3 A * (R-2) A = 0 R = 1 Set the coefficient portion of the power series equal to 0 and then solve for " AR +1". A ^(R+1) = (3R – 6) a, R ® A (R + 1) = R - 2 + 3A, 3 AR OA (R+1) %3D R - 2 -3 A, R. A (R + 1) R- 2 EA (R + 1) = AR + R R - 2 PA (R+1) 3 AR
Given the following general solution 00 E (R + 1) + 3 A * (R-2) A = 0 R = 1 Set the coefficient portion of the power series equal to 0 and then solve for " AR +1". A ^(R+1) = (3R – 6) a, R ® A (R + 1) = R - 2 + 3A, 3 AR OA (R+1) %3D R - 2 -3 A, R. A (R + 1) R- 2 EA (R + 1) = AR + R R - 2 PA (R+1) 3 AR
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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Question
q21

Transcribed Image Text:Given the following general solution
E (R - 2) A (R + 1) + 3 A
= 0
R
R = 1
Set the coefficient portion of the power series equal to 0 and then solve for " AR +1".
O A (R + 1) = (3R – 6) A,
-
B
A
= R - 2 + 3A,
(R+ 1)
3 AR
(c
A (R + 1)
R - 2
- 3A,
R
(D)
A (R + 1)
R - 2
A (R + 1)
= A. + R
R
R - 2
(F
A (R + 1)
3 AR
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